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Finding the Fourth Proportional to 659,943.69, 989,882.70 and 361,008.15

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Solution

The fourth proportional to 659,943.69, 989,882.70 and 361,008.15 is: 541,494.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,943.69 : 989,882.70 = 361,008.15 : x
  2. Step 2: Convert to fraction form
    659,943.69/989,882.70 = 361,008.15/x
  3. Step 3: Cross multiply
    659,943.69x = 989,882.70 × 361,008.15
  4. Step 4: Simplify right side
    659,943.69x = 357,355,722,244.01
  5. Step 5: Solve for x
    x = 357,355,722,244.01/659,943.69
  6. Step 6: Final answer
    x = 541,494.26

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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.