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Finding the Fourth Proportional to 518,552, 715,602.24 and 280,088

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Solution

The fourth proportional to 518,552, 715,602.24 and 280,088 is: 386,521.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,552 : 715,602.24 = 280,088 : x
  2. Step 2: Convert to fraction form
    518,552/715,602.24 = 280,088/x
  3. Step 3: Cross multiply
    518,552x = 715,602.24 × 280,088
  4. Step 4: Simplify right side
    518,552x = 200,431,600,197.12
  5. Step 5: Solve for x
    x = 200,431,600,197.12/518,552
  6. Step 6: Final answer
    x = 386,521.70

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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.