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Finding the Fourth Proportional to 400,864.40, 601,324.67 and 160,978.29

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Solution

The fourth proportional to 400,864.40, 601,324.67 and 160,978.29 is: 241,478.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,864.40 : 601,324.67 = 160,978.29 : x
  2. Step 2: Convert to fraction form
    400,864.40/601,324.67 = 160,978.29/x
  3. Step 3: Cross multiply
    400,864.40x = 601,324.67 × 160,978.29
  4. Step 4: Simplify right side
    400,864.40x = 96,800,217,513.86
  5. Step 5: Solve for x
    x = 96,800,217,513.86/400,864.40
  6. Step 6: Final answer
    x = 241,478.71

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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.