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Finding the Fourth Proportional to 284,412.78, 392,494.95 and 157,085.64

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Solution

The fourth proportional to 284,412.78, 392,494.95 and 157,085.64 is: 216,781.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,412.78 : 392,494.95 = 157,085.64 : x
  2. Step 2: Convert to fraction form
    284,412.78/392,494.95 = 157,085.64/x
  3. Step 3: Cross multiply
    284,412.78x = 392,494.95 × 157,085.64
  4. Step 4: Simplify right side
    284,412.78x = 61,655,320,417.52
  5. Step 5: Solve for x
    x = 61,655,320,417.52/284,412.78
  6. Step 6: Final answer
    x = 216,781.12

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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.