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Finding the Fourth Proportional to 513,419.96, 708,517.24 and 287,065.46

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Solution

The fourth proportional to 513,419.96, 708,517.24 and 287,065.46 is: 396,149.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,419.96 : 708,517.24 = 287,065.46 : x
  2. Step 2: Convert to fraction form
    513,419.96/708,517.24 = 287,065.46/x
  3. Step 3: Cross multiply
    513,419.96x = 708,517.24 × 287,065.46
  4. Step 4: Simplify right side
    513,419.96x = 203,390,827,418.53
  5. Step 5: Solve for x
    x = 203,390,827,418.53/513,419.96
  6. Step 6: Final answer
    x = 396,149.05

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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.