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Finding the Fourth Proportional to 284,588.62, 392,732.43 and 157,264.21

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Solution

The fourth proportional to 284,588.62, 392,732.43 and 157,264.21 is: 217,024.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,588.62 : 392,732.43 = 157,264.21 : x
  2. Step 2: Convert to fraction form
    284,588.62/392,732.43 = 157,264.21/x
  3. Step 3: Cross multiply
    284,588.62x = 392,732.43 × 157,264.21
  4. Step 4: Simplify right side
    284,588.62x = 61,762,755,345.33
  5. Step 5: Solve for x
    x = 61,762,755,345.33/284,588.62
  6. Step 6: Final answer
    x = 217,024.68

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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.