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Finding the Fourth Proportional to 398,037.80, 548,711.88 and 302,378.42

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Solution

The fourth proportional to 398,037.80, 548,711.88 and 302,378.42 is: 416,841.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,037.80 : 548,711.88 = 302,378.42 : x
  2. Step 2: Convert to fraction form
    398,037.80/548,711.88 = 302,378.42/x
  3. Step 3: Cross multiply
    398,037.80x = 548,711.88 × 302,378.42
  4. Step 4: Simplify right side
    398,037.80x = 165,918,631,309.63
  5. Step 5: Solve for x
    x = 165,918,631,309.63/398,037.80
  6. Step 6: Final answer
    x = 416,841.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.