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Finding the Fourth Proportional to 598,438.80, 898,241.40 and 299,257.20

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Solution

The fourth proportional to 598,438.80, 898,241.40 and 299,257.20 is: 449,177.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,438.80 : 898,241.40 = 299,257.20 : x
  2. Step 2: Convert to fraction form
    598,438.80/898,241.40 = 299,257.20/x
  3. Step 3: Cross multiply
    598,438.80x = 898,241.40 × 299,257.20
  4. Step 4: Simplify right side
    598,438.80x = 268,805,206,288.08
  5. Step 5: Solve for x
    x = 268,805,206,288.08/598,438.80
  6. Step 6: Final answer
    x = 449,177.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.