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Finding the Fourth Proportional to 409,920, 565,689.60 and 231,072

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Solution

The fourth proportional to 409,920, 565,689.60 and 231,072 is: 318,879.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,920 : 565,689.60 = 231,072 : x
  2. Step 2: Convert to fraction form
    409,920/565,689.60 = 231,072/x
  3. Step 3: Cross multiply
    409,920x = 565,689.60 × 231,072
  4. Step 4: Simplify right side
    409,920x = 130,715,027,251.20
  5. Step 5: Solve for x
    x = 130,715,027,251.20/409,920
  6. Step 6: Final answer
    x = 318,879.36

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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.