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Finding the Fourth Proportional to 678,167.47, 934,871.91 and 516,742.57

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Solution

The fourth proportional to 678,167.47, 934,871.91 and 516,742.57 is: 712,343.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,167.47 : 934,871.91 = 516,742.57 : x
  2. Step 2: Convert to fraction form
    678,167.47/934,871.91 = 516,742.57/x
  3. Step 3: Cross multiply
    678,167.47x = 934,871.91 × 516,742.57
  4. Step 4: Simplify right side
    678,167.47x = 483,088,108,719.85
  5. Step 5: Solve for x
    x = 483,088,108,719.85/678,167.47
  6. Step 6: Final answer
    x = 712,343.39

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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.