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Finding the Fourth Proportional to 439,642.86, 659,463.27 and 288,792.15

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Solution

The fourth proportional to 439,642.86, 659,463.27 and 288,792.15 is: 433,187.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,642.86 : 659,463.27 = 288,792.15 : x
  2. Step 2: Convert to fraction form
    439,642.86/659,463.27 = 288,792.15/x
  3. Step 3: Cross multiply
    439,642.86x = 659,463.27 × 288,792.15
  4. Step 4: Simplify right side
    439,642.86x = 190,447,815,589.33
  5. Step 5: Solve for x
    x = 190,447,815,589.33/439,642.86
  6. Step 6: Final answer
    x = 433,187.55

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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.