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Finding the Fourth Proportional to 400,717.75, 552,990.50 and 230,962.81

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Solution

The fourth proportional to 400,717.75, 552,990.50 and 230,962.81 is: 318,728.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,717.75 : 552,990.50 = 230,962.81 : x
  2. Step 2: Convert to fraction form
    400,717.75/552,990.50 = 230,962.81/x
  3. Step 3: Cross multiply
    400,717.75x = 552,990.50 × 230,962.81
  4. Step 4: Simplify right side
    400,717.75x = 127,720,239,783.31
  5. Step 5: Solve for x
    x = 127,720,239,783.31/400,717.75
  6. Step 6: Final answer
    x = 318,728.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.