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Finding the Fourth Proportional to 424,555.76, 636,308.72 and 214,253.84

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Solution

The fourth proportional to 424,555.76, 636,308.72 and 214,253.84 is: 321,115.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,555.76 : 636,308.72 = 214,253.84 : x
  2. Step 2: Convert to fraction form
    424,555.76/636,308.72 = 214,253.84/x
  3. Step 3: Cross multiply
    424,555.76x = 636,308.72 × 214,253.84
  4. Step 4: Simplify right side
    424,555.76x = 136,331,586,685.49
  5. Step 5: Solve for x
    x = 136,331,586,685.49/424,555.76
  6. Step 6: Final answer
    x = 321,115.86

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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.