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Finding the Fourth Proportional to 478,423.60, 717,635.40 and 319,793.20

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Solution

The fourth proportional to 478,423.60, 717,635.40 and 319,793.20 is: 479,689.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,423.60 : 717,635.40 = 319,793.20 : x
  2. Step 2: Convert to fraction form
    478,423.60/717,635.40 = 319,793.20/x
  3. Step 3: Cross multiply
    478,423.60x = 717,635.40 × 319,793.20
  4. Step 4: Simplify right side
    478,423.60x = 229,494,920,999.28
  5. Step 5: Solve for x
    x = 229,494,920,999.28/478,423.60
  6. Step 6: Final answer
    x = 479,689.80

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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.