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Finding the Fourth Proportional to 284,129.40, 425,898.90 and 115,577.40

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Solution

The fourth proportional to 284,129.40, 425,898.90 and 115,577.40 is: 173,246.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,129.40 : 425,898.90 = 115,577.40 : x
  2. Step 2: Convert to fraction form
    284,129.40/425,898.90 = 115,577.40/x
  3. Step 3: Cross multiply
    284,129.40x = 425,898.90 × 115,577.40
  4. Step 4: Simplify right side
    284,129.40x = 49,224,287,524.86
  5. Step 5: Solve for x
    x = 49,224,287,524.86/284,129.40
  6. Step 6: Final answer
    x = 173,246.02

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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.