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Finding the Fourth Proportional to 478,351.88, 717,429.25 and 211,942.47

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Solution

The fourth proportional to 478,351.88, 717,429.25 and 211,942.47 is: 317,870.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,351.88 : 717,429.25 = 211,942.47 : x
  2. Step 2: Convert to fraction form
    478,351.88/717,429.25 = 211,942.47/x
  3. Step 3: Cross multiply
    478,351.88x = 717,429.25 × 211,942.47
  4. Step 4: Simplify right side
    478,351.88x = 152,053,730,250.54
  5. Step 5: Solve for x
    x = 152,053,730,250.54/478,351.88
  6. Step 6: Final answer
    x = 317,870.04

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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.