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Finding the Fourth Proportional to 284,393.52, 392,454.99 and 157,066.38

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Solution

The fourth proportional to 284,393.52, 392,454.99 and 157,066.38 is: 216,747.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,393.52 : 392,454.99 = 157,066.38 : x
  2. Step 2: Convert to fraction form
    284,393.52/392,454.99 = 157,066.38/x
  3. Step 3: Cross multiply
    284,393.52x = 392,454.99 × 157,066.38
  4. Step 4: Simplify right side
    284,393.52x = 61,641,484,592.24
  5. Step 5: Solve for x
    x = 61,641,484,592.24/284,393.52
  6. Step 6: Final answer
    x = 216,747.15

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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.