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Finding the Fourth Proportional to 541,920.62, 747,697.76 and 312,459.87

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Solution

The fourth proportional to 541,920.62, 747,697.76 and 312,459.87 is: 431,106.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,920.62 : 747,697.76 = 312,459.87 : x
  2. Step 2: Convert to fraction form
    541,920.62/747,697.76 = 312,459.87/x
  3. Step 3: Cross multiply
    541,920.62x = 747,697.76 × 312,459.87
  4. Step 4: Simplify right side
    541,920.62x = 233,625,543,326.59
  5. Step 5: Solve for x
    x = 233,625,543,326.59/541,920.62
  6. Step 6: Final answer
    x = 431,106.58

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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.