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Finding the Fourth Proportional to 488,841.87, 733,318.16 and 438,613.31

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Solution

The fourth proportional to 488,841.87, 733,318.16 and 438,613.31 is: 657,969.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,841.87 : 733,318.16 = 438,613.31 : x
  2. Step 2: Convert to fraction form
    488,841.87/733,318.16 = 438,613.31/x
  3. Step 3: Cross multiply
    488,841.87x = 733,318.16 × 438,613.31
  4. Step 4: Simplify right side
    488,841.87x = 321,643,103,247.64
  5. Step 5: Solve for x
    x = 321,643,103,247.64/488,841.87
  6. Step 6: Final answer
    x = 657,969.63

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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.