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Finding the Fourth Proportional to 478,469.10, 717,703.65 and 212,748.60

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Solution

The fourth proportional to 478,469.10, 717,703.65 and 212,748.60 is: 319,122.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,469.10 : 717,703.65 = 212,748.60 : x
  2. Step 2: Convert to fraction form
    478,469.10/717,703.65 = 212,748.60/x
  3. Step 3: Cross multiply
    478,469.10x = 717,703.65 × 212,748.60
  4. Step 4: Simplify right side
    478,469.10x = 152,690,446,752.39
  5. Step 5: Solve for x
    x = 152,690,446,752.39/478,469.10
  6. Step 6: Final answer
    x = 319,122.90

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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.