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Finding the Fourth Proportional to 1,409,943.42, 1,945,669.95 and 765,349.47

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Solution

The fourth proportional to 1,409,943.42, 1,945,669.95 and 765,349.47 is: 1,056,154.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409,943.42 : 1,945,669.95 = 765,349.47 : x
  2. Step 2: Convert to fraction form
    1,409,943.42/1,945,669.95 = 765,349.47/x
  3. Step 3: Cross multiply
    1,409,943.42x = 1,945,669.95 × 765,349.47
  4. Step 4: Simplify right side
    1,409,943.42x = 1,489,117,465,027.43
  5. Step 5: Solve for x
    x = 1,489,117,465,027.43/1,409,943.42
  6. Step 6: Final answer
    x = 1,056,154.06

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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.