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Finding the Fourth Proportional to 320,469.60, 480,704.40 and 314,248.80

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Solution

The fourth proportional to 320,469.60, 480,704.40 and 314,248.80 is: 471,373.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,469.60 : 480,704.40 = 314,248.80 : x
  2. Step 2: Convert to fraction form
    320,469.60/480,704.40 = 314,248.80/x
  3. Step 3: Cross multiply
    320,469.60x = 480,704.40 × 314,248.80
  4. Step 4: Simplify right side
    320,469.60x = 151,060,780,854.72
  5. Step 5: Solve for x
    x = 151,060,780,854.72/320,469.60
  6. Step 6: Final answer
    x = 471,373.20

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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.