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Finding the Fourth Proportional to 516,032.62, 712,229.81 and 298,250.55

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Solution

The fourth proportional to 516,032.62, 712,229.81 and 298,250.55 is: 411,646.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,032.62 : 712,229.81 = 298,250.55 : x
  2. Step 2: Convert to fraction form
    516,032.62/712,229.81 = 298,250.55/x
  3. Step 3: Cross multiply
    516,032.62x = 712,229.81 × 298,250.55
  4. Step 4: Simplify right side
    516,032.62x = 212,422,931,067.64
  5. Step 5: Solve for x
    x = 212,422,931,067.64/516,032.62
  6. Step 6: Final answer
    x = 411,646.33

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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.