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Finding the Fourth Proportional to 325,934.80, 488,902.20 and 312,812.80

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Solution

The fourth proportional to 325,934.80, 488,902.20 and 312,812.80 is: 469,219.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,934.80 : 488,902.20 = 312,812.80 : x
  2. Step 2: Convert to fraction form
    325,934.80/488,902.20 = 312,812.80/x
  3. Step 3: Cross multiply
    325,934.80x = 488,902.20 × 312,812.80
  4. Step 4: Simplify right side
    325,934.80x = 152,934,866,108.16
  5. Step 5: Solve for x
    x = 152,934,866,108.16/325,934.80
  6. Step 6: Final answer
    x = 469,219.20

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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.