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Finding the Fourth Proportional to 478,380.30, 717,327.45 and 278,742.30

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Solution

The fourth proportional to 478,380.30, 717,327.45 and 278,742.30 is: 417,971.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,380.30 : 717,327.45 = 278,742.30 : x
  2. Step 2: Convert to fraction form
    478,380.30/717,327.45 = 278,742.30/x
  3. Step 3: Cross multiply
    478,380.30x = 717,327.45 × 278,742.30
  4. Step 4: Simplify right side
    478,380.30x = 199,949,503,266.14
  5. Step 5: Solve for x
    x = 199,949,503,266.14/478,380.30
  6. Step 6: Final answer
    x = 417,971.86

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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.