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Finding the Fourth Proportional to 398,864.64, 550,423.14 and 217,580.70

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Solution

The fourth proportional to 398,864.64, 550,423.14 and 217,580.70 is: 300,255.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,864.64 : 550,423.14 = 217,580.70 : x
  2. Step 2: Convert to fraction form
    398,864.64/550,423.14 = 217,580.70/x
  3. Step 3: Cross multiply
    398,864.64x = 550,423.14 × 217,580.70
  4. Step 4: Simplify right side
    398,864.64x = 119,761,452,097.40
  5. Step 5: Solve for x
    x = 119,761,452,097.40/398,864.64
  6. Step 6: Final answer
    x = 300,255.88

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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.