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Finding the Fourth Proportional to 359,918.75, 496,687.88 and 209,025.47

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Solution

The fourth proportional to 359,918.75, 496,687.88 and 209,025.47 is: 288,455.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,918.75 : 496,687.88 = 209,025.47 : x
  2. Step 2: Convert to fraction form
    359,918.75/496,687.88 = 209,025.47/x
  3. Step 3: Cross multiply
    359,918.75x = 496,687.88 × 209,025.47
  4. Step 4: Simplify right side
    359,918.75x = 103,820,417,560.30
  5. Step 5: Solve for x
    x = 103,820,417,560.30/359,918.75
  6. Step 6: Final answer
    x = 288,455.15

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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.