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Finding the Fourth Proportional to 488,833.80, 733,906.80 and 312,124.20

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Solution

The fourth proportional to 488,833.80, 733,906.80 and 312,124.20 is: 468,605.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,833.80 : 733,906.80 = 312,124.20 : x
  2. Step 2: Convert to fraction form
    488,833.80/733,906.80 = 312,124.20/x
  3. Step 3: Cross multiply
    488,833.80x = 733,906.80 × 312,124.20
  4. Step 4: Simplify right side
    488,833.80x = 229,070,072,824.56
  5. Step 5: Solve for x
    x = 229,070,072,824.56/488,833.80
  6. Step 6: Final answer
    x = 468,605.22

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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.