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Finding the Fourth Proportional to 360,984.71, 498,002.49 and 217,665.14

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Solution

The fourth proportional to 360,984.71, 498,002.49 and 217,665.14 is: 300,283.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,984.71 : 498,002.49 = 217,665.14 : x
  2. Step 2: Convert to fraction form
    360,984.71/498,002.49 = 217,665.14/x
  3. Step 3: Cross multiply
    360,984.71x = 498,002.49 × 217,665.14
  4. Step 4: Simplify right side
    360,984.71x = 108,397,781,706.20
  5. Step 5: Solve for x
    x = 108,397,781,706.20/360,984.71
  6. Step 6: Final answer
    x = 300,283.58

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1.5x scale

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.