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Finding the Fourth Proportional to 284,702.94, 392,892.42 and 157,380.66

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Solution

The fourth proportional to 284,702.94, 392,892.42 and 157,380.66 is: 217,186.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,702.94 : 392,892.42 = 157,380.66 : x
  2. Step 2: Convert to fraction form
    284,702.94/392,892.42 = 157,380.66/x
  3. Step 3: Cross multiply
    284,702.94x = 392,892.42 × 157,380.66
  4. Step 4: Simplify right side
    284,702.94x = 61,833,668,368.60
  5. Step 5: Solve for x
    x = 61,833,668,368.60/284,702.94
  6. Step 6: Final answer
    x = 217,186.62

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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.