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Finding the Fourth Proportional to 478,432.98, 717,715.08 and 141,500.12

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Solution

The fourth proportional to 478,432.98, 717,715.08 and 141,500.12 is: 212,269.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,432.98 : 717,715.08 = 141,500.12 : x
  2. Step 2: Convert to fraction form
    478,432.98/717,715.08 = 141,500.12/x
  3. Step 3: Cross multiply
    478,432.98x = 717,715.08 × 141,500.12
  4. Step 4: Simplify right side
    478,432.98x = 101,556,766,357.23
  5. Step 5: Solve for x
    x = 101,556,766,357.23/478,432.98
  6. Step 6: Final answer
    x = 212,269.58

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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.