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Finding the Fourth Proportional to 378,498.16, 522,309.89 and 217,239.71

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Solution

The fourth proportional to 378,498.16, 522,309.89 and 217,239.71 is: 299,780.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,498.16 : 522,309.89 = 217,239.71 : x
  2. Step 2: Convert to fraction form
    378,498.16/522,309.89 = 217,239.71/x
  3. Step 3: Cross multiply
    378,498.16x = 522,309.89 × 217,239.71
  4. Step 4: Simplify right side
    378,498.16x = 113,466,447,947.53
  5. Step 5: Solve for x
    x = 113,466,447,947.53/378,498.16
  6. Step 6: Final answer
    x = 299,780.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.