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Finding the Fourth Proportional to 303,729.90, 455,724.45 and 145,877.10

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Solution

The fourth proportional to 303,729.90, 455,724.45 and 145,877.10 is: 218,877.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,729.90 : 455,724.45 = 145,877.10 : x
  2. Step 2: Convert to fraction form
    303,729.90/455,724.45 = 145,877.10/x
  3. Step 3: Cross multiply
    303,729.90x = 455,724.45 × 145,877.10
  4. Step 4: Simplify right side
    303,729.90x = 66,479,761,165.10
  5. Step 5: Solve for x
    x = 66,479,761,165.10/303,729.90
  6. Step 6: Final answer
    x = 218,877.90

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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.