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Finding the Fourth Proportional to 472,839, 708,859.32 and 219,988.96

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Solution

The fourth proportional to 472,839, 708,859.32 and 219,988.96 is: 329,797.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,839 : 708,859.32 = 219,988.96 : x
  2. Step 2: Convert to fraction form
    472,839/708,859.32 = 219,988.96/x
  3. Step 3: Cross multiply
    472,839x = 708,859.32 × 219,988.96
  4. Step 4: Simplify right side
    472,839x = 155,941,224,593.11
  5. Step 5: Solve for x
    x = 155,941,224,593.11/472,839
  6. Step 6: Final answer
    x = 329,797.72

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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.