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Finding the Fourth Proportional to 488,792.80, 733,845.30 and 312,083.20

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Solution

The fourth proportional to 488,792.80, 733,845.30 and 312,083.20 is: 468,543.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,792.80 : 733,845.30 = 312,083.20 : x
  2. Step 2: Convert to fraction form
    488,792.80/733,845.30 = 312,083.20/x
  3. Step 3: Cross multiply
    488,792.80x = 733,845.30 × 312,083.20
  4. Step 4: Simplify right side
    488,792.80x = 229,020,789,528.96
  5. Step 5: Solve for x
    x = 229,020,789,528.96/488,792.80
  6. Step 6: Final answer
    x = 468,543.71

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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.