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Finding the Fourth Proportional to 360,715.20, 497,628 and 217,390.56

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Solution

The fourth proportional to 360,715.20, 497,628 and 217,390.56 is: 299,903.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,715.20 : 497,628 = 217,390.56 : x
  2. Step 2: Convert to fraction form
    360,715.20/497,628 = 217,390.56/x
  3. Step 3: Cross multiply
    360,715.20x = 497,628 × 217,390.56
  4. Step 4: Simplify right side
    360,715.20x = 108,179,629,591.68
  5. Step 5: Solve for x
    x = 108,179,629,591.68/360,715.20
  6. Step 6: Final answer
    x = 299,903.16

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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.