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Finding the Fourth Proportional to 492,411.12, 738,470.88 and 137,339.52

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Solution

The fourth proportional to 492,411.12, 738,470.88 and 137,339.52 is: 205,968.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,411.12 : 738,470.88 = 137,339.52 : x
  2. Step 2: Convert to fraction form
    492,411.12/738,470.88 = 137,339.52/x
  3. Step 3: Cross multiply
    492,411.12x = 738,470.88 × 137,339.52
  4. Step 4: Simplify right side
    492,411.12x = 101,421,236,193.18
  5. Step 5: Solve for x
    x = 101,421,236,193.18/492,411.12
  6. Step 6: Final answer
    x = 205,968.61

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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.