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Finding the Fourth Proportional to 500,110.52, 749,647.38 and 312,691.64

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Solution

The fourth proportional to 500,110.52, 749,647.38 and 312,691.64 is: 468,713.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,110.52 : 749,647.38 = 312,691.64 : x
  2. Step 2: Convert to fraction form
    500,110.52/749,647.38 = 312,691.64/x
  3. Step 3: Cross multiply
    500,110.52x = 749,647.38 × 312,691.64
  4. Step 4: Simplify right side
    500,110.52x = 234,408,468,673.90
  5. Step 5: Solve for x
    x = 234,408,468,673.90/500,110.52
  6. Step 6: Final answer
    x = 468,713.33

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1.5x scale

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.