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Finding the Fourth Proportional to 518,591.76, 715,656.64 and 280,127.76

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Solution

The fourth proportional to 518,591.76, 715,656.64 and 280,127.76 is: 386,576.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,591.76 : 715,656.64 = 280,127.76 : x
  2. Step 2: Convert to fraction form
    518,591.76/715,656.64 = 280,127.76/x
  3. Step 3: Cross multiply
    518,591.76x = 715,656.64 × 280,127.76
  4. Step 4: Simplify right side
    518,591.76x = 200,475,291,492.33
  5. Step 5: Solve for x
    x = 200,475,291,492.33/518,591.76
  6. Step 6: Final answer
    x = 386,576.31

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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.