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Finding the Fourth Proportional to 284,726.88, 392,888.98 and 157,385.16

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Solution

The fourth proportional to 284,726.88, 392,888.98 and 157,385.16 is: 217,172.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,726.88 : 392,888.98 = 157,385.16 : x
  2. Step 2: Convert to fraction form
    284,726.88/392,888.98 = 157,385.16/x
  3. Step 3: Cross multiply
    284,726.88x = 392,888.98 × 157,385.16
  4. Step 4: Simplify right side
    284,726.88x = 61,834,894,979.54
  5. Step 5: Solve for x
    x = 61,834,894,979.54/284,726.88
  6. Step 6: Final answer
    x = 217,172.66

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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.