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Finding the Fourth Proportional to 541,412.38, 747,229.14 and 311,925.96

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Solution

The fourth proportional to 541,412.38, 747,229.14 and 311,925.96 is: 430,503.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,412.38 : 747,229.14 = 311,925.96 : x
  2. Step 2: Convert to fraction form
    541,412.38/747,229.14 = 311,925.96/x
  3. Step 3: Cross multiply
    541,412.38x = 747,229.14 × 311,925.96
  4. Step 4: Simplify right side
    541,412.38x = 233,080,166,834.47
  5. Step 5: Solve for x
    x = 233,080,166,834.47/541,412.38
  6. Step 6: Final answer
    x = 430,503.95

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1.5x scale

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.