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Finding the Fourth Proportional to 1,409,988,713.52, 1,945,699,127 and 783,435,717.68

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Solution

The fourth proportional to 1,409,988,713.52, 1,945,699,127 and 783,435,717.68 is: 1,081,093,896.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409,988,713.52 : 1,945,699,127 = 783,435,717.68 : x
  2. Step 2: Convert to fraction form
    1,409,988,713.52/1,945,699,127 = 783,435,717.68/x
  3. Step 3: Cross multiply
    1,409,988,713.52x = 1,945,699,127 × 783,435,717.68
  4. Step 4: Simplify right side
    1,409,988,713.52x = 1,524,330,191,950,594,304
  5. Step 5: Solve for x
    x = 1,524,330,191,950,594,304/1,409,988,713.52
  6. Step 6: Final answer
    x = 1,081,093,896.24

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.