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Finding the Fourth Proportional to 494,486.40, 741,729.60 and 307,862.40

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Solution

The fourth proportional to 494,486.40, 741,729.60 and 307,862.40 is: 461,793.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,486.40 : 741,729.60 = 307,862.40 : x
  2. Step 2: Convert to fraction form
    494,486.40/741,729.60 = 307,862.40/x
  3. Step 3: Cross multiply
    494,486.40x = 741,729.60 × 307,862.40
  4. Step 4: Simplify right side
    494,486.40x = 228,350,654,807.04
  5. Step 5: Solve for x
    x = 228,350,654,807.04/494,486.40
  6. Step 6: Final answer
    x = 461,793.60

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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.