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Finding the Fourth Proportional to 492,473.56, 738,447.78 and 255,577.72

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Solution

The fourth proportional to 492,473.56, 738,447.78 and 255,577.72 is: 383,230.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,473.56 : 738,447.78 = 255,577.72 : x
  2. Step 2: Convert to fraction form
    492,473.56/738,447.78 = 255,577.72/x
  3. Step 3: Cross multiply
    492,473.56x = 738,447.78 × 255,577.72
  4. Step 4: Simplify right side
    492,473.56x = 188,730,799,951.46
  5. Step 5: Solve for x
    x = 188,730,799,951.46/492,473.56
  6. Step 6: Final answer
    x = 383,230.32

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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.