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Finding the Fourth Proportional to 709,543.56, 1,063,391.22 and 288,327

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Solution

The fourth proportional to 709,543.56, 1,063,391.22 and 288,327 is: 432,114.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,543.56 : 1,063,391.22 = 288,327 : x
  2. Step 2: Convert to fraction form
    709,543.56/1,063,391.22 = 288,327/x
  3. Step 3: Cross multiply
    709,543.56x = 1,063,391.22 × 288,327
  4. Step 4: Simplify right side
    709,543.56x = 306,604,400,288.94
  5. Step 5: Solve for x
    x = 306,604,400,288.94/709,543.56
  6. Step 6: Final answer
    x = 432,114.98

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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.