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Finding the Fourth Proportional to 478,497.20, 717,745.82 and 141,511.62

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Solution

The fourth proportional to 478,497.20, 717,745.82 and 141,511.62 is: 212,267.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,497.20 : 717,745.82 = 141,511.62 : x
  2. Step 2: Convert to fraction form
    478,497.20/717,745.82 = 141,511.62/x
  3. Step 3: Cross multiply
    478,497.20x = 717,745.82 × 141,511.62
  4. Step 4: Simplify right side
    478,497.20x = 101,569,373,736.43
  5. Step 5: Solve for x
    x = 101,569,373,736.43/478,497.20
  6. Step 6: Final answer
    x = 212,267.44

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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.