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Finding the Fourth Proportional to 299,574.40, 449,426.40 and 89,233.60

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Solution

The fourth proportional to 299,574.40, 449,426.40 and 89,233.60 is: 133,869.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,574.40 : 449,426.40 = 89,233.60 : x
  2. Step 2: Convert to fraction form
    299,574.40/449,426.40 = 89,233.60/x
  3. Step 3: Cross multiply
    299,574.40x = 449,426.40 × 89,233.60
  4. Step 4: Simplify right side
    299,574.40x = 40,103,935,607.04
  5. Step 5: Solve for x
    x = 40,103,935,607.04/299,574.40
  6. Step 6: Final answer
    x = 133,869.70

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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.