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Finding the Fourth Proportional to 492,876.60, 738,278.10 and 409,932.60

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Solution

The fourth proportional to 492,876.60, 738,278.10 and 409,932.60 is: 614,036.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,876.60 : 738,278.10 = 409,932.60 : x
  2. Step 2: Convert to fraction form
    492,876.60/738,278.10 = 409,932.60/x
  3. Step 3: Cross multiply
    492,876.60x = 738,278.10 × 409,932.60
  4. Step 4: Simplify right side
    492,876.60x = 302,644,261,056.06
  5. Step 5: Solve for x
    x = 302,644,261,056.06/492,876.60
  6. Step 6: Final answer
    x = 614,036.58

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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.