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Finding the Fourth Proportional to 284,757.39, 392,973.12 and 157,441.19

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Solution

The fourth proportional to 284,757.39, 392,973.12 and 157,441.19 is: 217,273.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,757.39 : 392,973.12 = 157,441.19 : x
  2. Step 2: Convert to fraction form
    284,757.39/392,973.12 = 157,441.19/x
  3. Step 3: Cross multiply
    284,757.39x = 392,973.12 × 157,441.19
  4. Step 4: Simplify right side
    284,757.39x = 61,870,153,685.95
  5. Step 5: Solve for x
    x = 61,870,153,685.95/284,757.39
  6. Step 6: Final answer
    x = 217,273.22

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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.