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Finding the Fourth Proportional to 311,987.52, 467,981.28 and 101,625.44

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Solution

The fourth proportional to 311,987.52, 467,981.28 and 101,625.44 is: 152,438.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,987.52 : 467,981.28 = 101,625.44 : x
  2. Step 2: Convert to fraction form
    311,987.52/467,981.28 = 101,625.44/x
  3. Step 3: Cross multiply
    311,987.52x = 467,981.28 × 101,625.44
  4. Step 4: Simplify right side
    311,987.52x = 47,558,803,491.76
  5. Step 5: Solve for x
    x = 47,558,803,491.76/311,987.52
  6. Step 6: Final answer
    x = 152,438.16

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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.