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Finding the Fourth Proportional to 492,765.61, 738,114.52 and 312,758.43

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Solution

The fourth proportional to 492,765.61, 738,114.52 and 312,758.43 is: 468,481.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,765.61 : 738,114.52 = 312,758.43 : x
  2. Step 2: Convert to fraction form
    492,765.61/738,114.52 = 312,758.43/x
  3. Step 3: Cross multiply
    492,765.61x = 738,114.52 × 312,758.43
  4. Step 4: Simplify right side
    492,765.61x = 230,851,538,435.40
  5. Step 5: Solve for x
    x = 230,851,538,435.40/492,765.61
  6. Step 6: Final answer
    x = 468,481.43

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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.