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Finding the Fourth Proportional to 311,862.06, 467,721.54 and 87,238.40

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Solution

The fourth proportional to 311,862.06, 467,721.54 and 87,238.40 is: 130,837.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,862.06 : 467,721.54 = 87,238.40 : x
  2. Step 2: Convert to fraction form
    311,862.06/467,721.54 = 87,238.40/x
  3. Step 3: Cross multiply
    311,862.06x = 467,721.54 × 87,238.40
  4. Step 4: Simplify right side
    311,862.06x = 40,803,276,456.53
  5. Step 5: Solve for x
    x = 40,803,276,456.53/311,862.06
  6. Step 6: Final answer
    x = 130,837.58

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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.