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Finding the Fourth Proportional to 400,711.40, 600,112.96 and 231,875.90

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Solution

The fourth proportional to 400,711.40, 600,112.96 and 231,875.90 is: 347,261.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,711.40 : 600,112.96 = 231,875.90 : x
  2. Step 2: Convert to fraction form
    400,711.40/600,112.96 = 231,875.90/x
  3. Step 3: Cross multiply
    400,711.40x = 600,112.96 × 231,875.90
  4. Step 4: Simplify right side
    400,711.40x = 139,151,732,701.66
  5. Step 5: Solve for x
    x = 139,151,732,701.66/400,711.40
  6. Step 6: Final answer
    x = 347,261.73

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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.