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Finding the Fourth Proportional to 472,206.71, 707,924.10 and 219,644.66

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Solution

The fourth proportional to 472,206.71, 707,924.10 and 219,644.66 is: 329,287.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,206.71 : 707,924.10 = 219,644.66 : x
  2. Step 2: Convert to fraction form
    472,206.71/707,924.10 = 219,644.66/x
  3. Step 3: Cross multiply
    472,206.71x = 707,924.10 × 219,644.66
  4. Step 4: Simplify right side
    472,206.71x = 155,491,750,843.78
  5. Step 5: Solve for x
    x = 155,491,750,843.78/472,206.71
  6. Step 6: Final answer
    x = 329,287.46

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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.