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Finding the Fourth Proportional to 518,778.64, 715,914.51 and 280,314.64

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Solution

The fourth proportional to 518,778.64, 715,914.51 and 280,314.64 is: 386,834.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,778.64 : 715,914.51 = 280,314.64 : x
  2. Step 2: Convert to fraction form
    518,778.64/715,914.51 = 280,314.64/x
  3. Step 3: Cross multiply
    518,778.64x = 715,914.51 × 280,314.64
  4. Step 4: Simplify right side
    518,778.64x = 200,681,318,141.43
  5. Step 5: Solve for x
    x = 200,681,318,141.43/518,778.64
  6. Step 6: Final answer
    x = 386,834.20

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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.