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Finding the Fourth Proportional to 491,871.20, 738,470.16 and 314,724

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Solution

The fourth proportional to 491,871.20, 738,470.16 and 314,724 is: 472,510.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,871.20 : 738,470.16 = 314,724 : x
  2. Step 2: Convert to fraction form
    491,871.20/738,470.16 = 314,724/x
  3. Step 3: Cross multiply
    491,871.20x = 738,470.16 × 314,724
  4. Step 4: Simplify right side
    491,871.20x = 232,414,282,635.84
  5. Step 5: Solve for x
    x = 232,414,282,635.84/491,871.20
  6. Step 6: Final answer
    x = 472,510.45

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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.