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Finding the Fourth Proportional to 284,154.82, 392,132.84 and 156,829.50

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Solution

The fourth proportional to 284,154.82, 392,132.84 and 156,829.50 is: 216,424.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,154.82 : 392,132.84 = 156,829.50 : x
  2. Step 2: Convert to fraction form
    284,154.82/392,132.84 = 156,829.50/x
  3. Step 3: Cross multiply
    284,154.82x = 392,132.84 × 156,829.50
  4. Step 4: Simplify right side
    284,154.82x = 61,497,997,230.78
  5. Step 5: Solve for x
    x = 61,497,997,230.78/284,154.82
  6. Step 6: Final answer
    x = 216,424.26

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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.