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Finding the Fourth Proportional to 398,215.30, 597,315.27 and 98,696.50

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Solution

The fourth proportional to 398,215.30, 597,315.27 and 98,696.50 is: 148,042.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,215.30 : 597,315.27 = 98,696.50 : x
  2. Step 2: Convert to fraction form
    398,215.30/597,315.27 = 98,696.50/x
  3. Step 3: Cross multiply
    398,215.30x = 597,315.27 × 98,696.50
  4. Step 4: Simplify right side
    398,215.30x = 58,952,926,545.56
  5. Step 5: Solve for x
    x = 58,952,926,545.56/398,215.30
  6. Step 6: Final answer
    x = 148,042.85

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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.