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Finding the Fourth Proportional to 438,560.30, 658,070.98 and 311,297.86

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Solution

The fourth proportional to 438,560.30, 658,070.98 and 311,297.86 is: 467,110.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,560.30 : 658,070.98 = 311,297.86 : x
  2. Step 2: Convert to fraction form
    438,560.30/658,070.98 = 311,297.86/x
  3. Step 3: Cross multiply
    438,560.30x = 658,070.98 × 311,297.86
  4. Step 4: Simplify right side
    438,560.30x = 204,856,087,802.10
  5. Step 5: Solve for x
    x = 204,856,087,802.10/438,560.30
  6. Step 6: Final answer
    x = 467,110.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.