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Finding the Fourth Proportional to 658,115.80, 985,205.40 and 391,739.20

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Solution

The fourth proportional to 658,115.80, 985,205.40 and 391,739.20 is: 586,437.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,115.80 : 985,205.40 = 391,739.20 : x
  2. Step 2: Convert to fraction form
    658,115.80/985,205.40 = 391,739.20/x
  3. Step 3: Cross multiply
    658,115.80x = 985,205.40 × 391,739.20
  4. Step 4: Simplify right side
    658,115.80x = 385,943,575,231.68
  5. Step 5: Solve for x
    x = 385,943,575,231.68/658,115.80
  6. Step 6: Final answer
    x = 586,437.18

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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.