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Finding the Fourth Proportional to 424,257.40, 636,386.10 and 407,927.80

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Solution

The fourth proportional to 424,257.40, 636,386.10 and 407,927.80 is: 611,891.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,257.40 : 636,386.10 = 407,927.80 : x
  2. Step 2: Convert to fraction form
    424,257.40/636,386.10 = 407,927.80/x
  3. Step 3: Cross multiply
    424,257.40x = 636,386.10 × 407,927.80
  4. Step 4: Simplify right side
    424,257.40x = 259,599,581,723.58
  5. Step 5: Solve for x
    x = 259,599,581,723.58/424,257.40
  6. Step 6: Final answer
    x = 611,891.70

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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.