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Finding the Fourth Proportional to 295,311.80, 442,665.30 and 145,321.40

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Solution

The fourth proportional to 295,311.80, 442,665.30 and 145,321.40 is: 217,833.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,311.80 : 442,665.30 = 145,321.40 : x
  2. Step 2: Convert to fraction form
    295,311.80/442,665.30 = 145,321.40/x
  3. Step 3: Cross multiply
    295,311.80x = 442,665.30 × 145,321.40
  4. Step 4: Simplify right side
    295,311.80x = 64,328,741,127.42
  5. Step 5: Solve for x
    x = 64,328,741,127.42/295,311.80
  6. Step 6: Final answer
    x = 217,833.29

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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.