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Finding the Fourth Proportional to 598,382, 825,748.20 and 340,287

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Solution

The fourth proportional to 598,382, 825,748.20 and 340,287 is: 469,585.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,382 : 825,748.20 = 340,287 : x
  2. Step 2: Convert to fraction form
    598,382/825,748.20 = 340,287/x
  3. Step 3: Cross multiply
    598,382x = 825,748.20 × 340,287
  4. Step 4: Simplify right side
    598,382x = 280,991,377,733.40
  5. Step 5: Solve for x
    x = 280,991,377,733.40/598,382
  6. Step 6: Final answer
    x = 469,585.28

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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.