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Finding the Fourth Proportional to 425,756.86, 638,684.70 and 141,472.78

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Solution

The fourth proportional to 425,756.86, 638,684.70 and 141,472.78 is: 212,225.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,756.86 : 638,684.70 = 141,472.78 : x
  2. Step 2: Convert to fraction form
    425,756.86/638,684.70 = 141,472.78/x
  3. Step 3: Cross multiply
    425,756.86x = 638,684.70 × 141,472.78
  4. Step 4: Simplify right side
    425,756.86x = 90,356,500,052.47
  5. Step 5: Solve for x
    x = 90,356,500,052.47/425,756.86
  6. Step 6: Final answer
    x = 212,225.59

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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.