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Finding the Fourth Proportional to 284,984.73, 393,290.51 and 157,658.13

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Solution

The fourth proportional to 284,984.73, 393,290.51 and 157,658.13 is: 217,574.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,984.73 : 393,290.51 = 157,658.13 : x
  2. Step 2: Convert to fraction form
    284,984.73/393,290.51 = 157,658.13/x
  3. Step 3: Cross multiply
    284,984.73x = 393,290.51 × 157,658.13
  4. Step 4: Simplify right side
    284,984.73x = 62,005,445,565.06
  5. Step 5: Solve for x
    x = 62,005,445,565.06/284,984.73
  6. Step 6: Final answer
    x = 217,574.62

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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.