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Finding the Fourth Proportional to 638,769.30, 881,279.02 and 409,453

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Solution

The fourth proportional to 638,769.30, 881,279.02 and 409,453 is: 564,902.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,769.30 : 881,279.02 = 409,453 : x
  2. Step 2: Convert to fraction form
    638,769.30/881,279.02 = 409,453/x
  3. Step 3: Cross multiply
    638,769.30x = 881,279.02 × 409,453
  4. Step 4: Simplify right side
    638,769.30x = 360,842,338,576.06
  5. Step 5: Solve for x
    x = 360,842,338,576.06/638,769.30
  6. Step 6: Final answer
    x = 564,902.44

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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.