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Finding the Fourth Proportional to 491,921.15, 737,881.74 and 281,411.46

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Solution

The fourth proportional to 491,921.15, 737,881.74 and 281,411.46 is: 422,117.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,921.15 : 737,881.74 = 281,411.46 : x
  2. Step 2: Convert to fraction form
    491,921.15/737,881.74 = 281,411.46/x
  3. Step 3: Cross multiply
    491,921.15x = 737,881.74 × 281,411.46
  4. Step 4: Simplify right side
    491,921.15x = 207,648,377,760.74
  5. Step 5: Solve for x
    x = 207,648,377,760.74/491,921.15
  6. Step 6: Final answer
    x = 422,117.20

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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.