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Finding the Fourth Proportional to 439,906.16, 659,727.52 and 229,429.28

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Solution

The fourth proportional to 439,906.16, 659,727.52 and 229,429.28 is: 344,075.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,906.16 : 659,727.52 = 229,429.28 : x
  2. Step 2: Convert to fraction form
    439,906.16/659,727.52 = 229,429.28/x
  3. Step 3: Cross multiply
    439,906.16x = 659,727.52 × 229,429.28
  4. Step 4: Simplify right side
    439,906.16x = 151,360,809,909.79
  5. Step 5: Solve for x
    x = 151,360,809,909.79/439,906.16
  6. Step 6: Final answer
    x = 344,075.22

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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.