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Finding the Fourth Proportional to 518,819.50, 715,981.85 and 292,465

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Solution

The fourth proportional to 518,819.50, 715,981.85 and 292,465 is: 403,607.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,819.50 : 715,981.85 = 292,465 : x
  2. Step 2: Convert to fraction form
    518,819.50/715,981.85 = 292,465/x
  3. Step 3: Cross multiply
    518,819.50x = 715,981.85 × 292,465
  4. Step 4: Simplify right side
    518,819.50x = 209,399,631,760.25
  5. Step 5: Solve for x
    x = 209,399,631,760.25/518,819.50
  6. Step 6: Final answer
    x = 403,607.87

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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.