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Finding the Fourth Proportional to 518,814, 715,974.26 and 292,459.50

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Solution

The fourth proportional to 518,814, 715,974.26 and 292,459.50 is: 403,600.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,814 : 715,974.26 = 292,459.50 : x
  2. Step 2: Convert to fraction form
    518,814/715,974.26 = 292,459.50/x
  3. Step 3: Cross multiply
    518,814x = 715,974.26 × 292,459.50
  4. Step 4: Simplify right side
    518,814x = 209,393,472,630.17
  5. Step 5: Solve for x
    x = 209,393,472,630.17/518,814
  6. Step 6: Final answer
    x = 403,600.27

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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.