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Finding the Fourth Proportional to 299,823.20, 449,864.40 and 141,970.40

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Solution

The fourth proportional to 299,823.20, 449,864.40 and 141,970.40 is: 213,016.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,823.20 : 449,864.40 = 141,970.40 : x
  2. Step 2: Convert to fraction form
    299,823.20/449,864.40 = 141,970.40/x
  3. Step 3: Cross multiply
    299,823.20x = 449,864.40 × 141,970.40
  4. Step 4: Simplify right side
    299,823.20x = 63,867,428,813.76
  5. Step 5: Solve for x
    x = 63,867,428,813.76/299,823.20
  6. Step 6: Final answer
    x = 213,016.97

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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.