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Finding the Fourth Proportional to 424,069.20, 636,103.80 and 214,117.20

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Solution

The fourth proportional to 424,069.20, 636,103.80 and 214,117.20 is: 321,175.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,069.20 : 636,103.80 = 214,117.20 : x
  2. Step 2: Convert to fraction form
    424,069.20/636,103.80 = 214,117.20/x
  3. Step 3: Cross multiply
    424,069.20x = 636,103.80 × 214,117.20
  4. Step 4: Simplify right side
    424,069.20x = 136,200,764,565.36
  5. Step 5: Solve for x
    x = 136,200,764,565.36/424,069.20
  6. Step 6: Final answer
    x = 321,175.80

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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.