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Finding the Fourth Proportional to 284,064.72, 392,008.50 and 156,739.20

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Solution

The fourth proportional to 284,064.72, 392,008.50 and 156,739.20 is: 216,299.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,064.72 : 392,008.50 = 156,739.20 : x
  2. Step 2: Convert to fraction form
    284,064.72/392,008.50 = 156,739.20/x
  3. Step 3: Cross multiply
    284,064.72x = 392,008.50 × 156,739.20
  4. Step 4: Simplify right side
    284,064.72x = 61,443,098,683.20
  5. Step 5: Solve for x
    x = 61,443,098,683.20/284,064.72
  6. Step 6: Final answer
    x = 216,299.65

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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.