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Finding the Fourth Proportional to 284,668.20, 392,836.50 and 157,349.16

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Solution

The fourth proportional to 284,668.20, 392,836.50 and 157,349.16 is: 217,138.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,668.20 : 392,836.50 = 157,349.16 : x
  2. Step 2: Convert to fraction form
    284,668.20/392,836.50 = 157,349.16/x
  3. Step 3: Cross multiply
    284,668.20x = 392,836.50 × 157,349.16
  4. Step 4: Simplify right side
    284,668.20x = 61,812,493,292.34
  5. Step 5: Solve for x
    x = 61,812,493,292.34/284,668.20
  6. Step 6: Final answer
    x = 217,138.74

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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.