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Finding the Fourth Proportional to 284,171.76, 426,445.88 and 156,177.42

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Solution

The fourth proportional to 284,171.76, 426,445.88 and 156,177.42 is: 234,369.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,171.76 : 426,445.88 = 156,177.42 : x
  2. Step 2: Convert to fraction form
    284,171.76/426,445.88 = 156,177.42/x
  3. Step 3: Cross multiply
    284,171.76x = 426,445.88 × 156,177.42
  4. Step 4: Simplify right side
    284,171.76x = 66,601,217,308.03
  5. Step 5: Solve for x
    x = 66,601,217,308.03/284,171.76
  6. Step 6: Final answer
    x = 234,369.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.