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Finding the Fourth Proportional to 424,645, 637,065.92 and 144,162.25

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Solution

The fourth proportional to 424,645, 637,065.92 and 144,162.25 is: 216,276.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,645 : 637,065.92 = 144,162.25 : x
  2. Step 2: Convert to fraction form
    424,645/637,065.92 = 144,162.25/x
  3. Step 3: Cross multiply
    424,645x = 637,065.92 × 144,162.25
  4. Step 4: Simplify right side
    424,645x = 91,840,856,425.52
  5. Step 5: Solve for x
    x = 91,840,856,425.52/424,645
  6. Step 6: Final answer
    x = 216,276.79

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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.