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Finding the Fourth Proportional to 378,470.17, 522,265.00 and 217,211.72

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Solution

The fourth proportional to 378,470.17, 522,265.00 and 217,211.72 is: 299,738.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,470.17 : 522,265.00 = 217,211.72 : x
  2. Step 2: Convert to fraction form
    378,470.17/522,265.00 = 217,211.72/x
  3. Step 3: Cross multiply
    378,470.17x = 522,265.00 × 217,211.72
  4. Step 4: Simplify right side
    378,470.17x = 113,442,077,859.74
  5. Step 5: Solve for x
    x = 113,442,077,859.74/378,470.17
  6. Step 6: Final answer
    x = 299,738.50

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1.5x scale

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.