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Finding the Fourth Proportional to 480,078.20, 720,117.30 and 391,431.80

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Solution

The fourth proportional to 480,078.20, 720,117.30 and 391,431.80 is: 587,147.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,078.20 : 720,117.30 = 391,431.80 : x
  2. Step 2: Convert to fraction form
    480,078.20/720,117.30 = 391,431.80/x
  3. Step 3: Cross multiply
    480,078.20x = 720,117.30 × 391,431.80
  4. Step 4: Simplify right side
    480,078.20x = 281,876,810,950.14
  5. Step 5: Solve for x
    x = 281,876,810,950.14/480,078.20
  6. Step 6: Final answer
    x = 587,147.70

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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.