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Finding the Fourth Proportional to 658,861.20, 988,291.80 and 410,029.20

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Solution

The fourth proportional to 658,861.20, 988,291.80 and 410,029.20 is: 615,043.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,861.20 : 988,291.80 = 410,029.20 : x
  2. Step 2: Convert to fraction form
    658,861.20/988,291.80 = 410,029.20/x
  3. Step 3: Cross multiply
    658,861.20x = 988,291.80 × 410,029.20
  4. Step 4: Simplify right side
    658,861.20x = 405,228,496,120.56
  5. Step 5: Solve for x
    x = 405,228,496,120.56/658,861.20
  6. Step 6: Final answer
    x = 615,043.80

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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.