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Finding the Fourth Proportional to 295,614.40, 443,487.20 and 85,236

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Solution

The fourth proportional to 295,614.40, 443,487.20 and 85,236 is: 127,872.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,614.40 : 443,487.20 = 85,236 : x
  2. Step 2: Convert to fraction form
    295,614.40/443,487.20 = 85,236/x
  3. Step 3: Cross multiply
    295,614.40x = 443,487.20 × 85,236
  4. Step 4: Simplify right side
    295,614.40x = 37,801,074,979.20
  5. Step 5: Solve for x
    x = 37,801,074,979.20/295,614.40
  6. Step 6: Final answer
    x = 127,872.91

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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.