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Finding the Fourth Proportional to 439,644, 659,464.98 and 288,793.26

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Solution

The fourth proportional to 439,644, 659,464.98 and 288,793.26 is: 433,189.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,644 : 659,464.98 = 288,793.26 : x
  2. Step 2: Convert to fraction form
    439,644/659,464.98 = 288,793.26/x
  3. Step 3: Cross multiply
    439,644x = 659,464.98 × 288,793.26
  4. Step 4: Simplify right side
    439,644x = 190,449,041,430.04
  5. Step 5: Solve for x
    x = 190,449,041,430.04/439,644
  6. Step 6: Final answer
    x = 433,189.22

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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.