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Finding the Fourth Proportional to 758,689.12, 1,046,978.76 and 414,517.65

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Solution

The fourth proportional to 758,689.12, 1,046,978.76 and 414,517.65 is: 572,027.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    758,689.12 : 1,046,978.76 = 414,517.65 : x
  2. Step 2: Convert to fraction form
    758,689.12/1,046,978.76 = 414,517.65/x
  3. Step 3: Cross multiply
    758,689.12x = 1,046,978.76 × 414,517.65
  4. Step 4: Simplify right side
    758,689.12x = 433,991,175,195.11
  5. Step 5: Solve for x
    x = 433,991,175,195.11/758,689.12
  6. Step 6: Final answer
    x = 572,027.68

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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.