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Finding the Fourth Proportional to 538,609.91, 743,281.49 and 296,896.51

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Solution

The fourth proportional to 538,609.91, 743,281.49 and 296,896.51 is: 409,717.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,609.91 : 743,281.49 = 296,896.51 : x
  2. Step 2: Convert to fraction form
    538,609.91/743,281.49 = 296,896.51/x
  3. Step 3: Cross multiply
    538,609.91x = 743,281.49 × 296,896.51
  4. Step 4: Simplify right side
    538,609.91x = 220,677,675,127.71
  5. Step 5: Solve for x
    x = 220,677,675,127.71/538,609.91
  6. Step 6: Final answer
    x = 409,717.07

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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.