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Finding the Fourth Proportional to 284,706.48, 392,879.53 and 157,373.88

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Solution

The fourth proportional to 284,706.48, 392,879.53 and 157,373.88 is: 217,167.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,706.48 : 392,879.53 = 157,373.88 : x
  2. Step 2: Convert to fraction form
    284,706.48/392,879.53 = 157,373.88/x
  3. Step 3: Cross multiply
    284,706.48x = 392,879.53 × 157,373.88
  4. Step 4: Simplify right side
    284,706.48x = 61,828,976,008.68
  5. Step 5: Solve for x
    x = 61,828,976,008.68/284,706.48
  6. Step 6: Final answer
    x = 217,167.44

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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.