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Finding the Fourth Proportional to 409,278.44, 564,821.26 and 227,990.32

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Solution

The fourth proportional to 409,278.44, 564,821.26 and 227,990.32 is: 314,636.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,278.44 : 564,821.26 = 227,990.32 : x
  2. Step 2: Convert to fraction form
    409,278.44/564,821.26 = 227,990.32/x
  3. Step 3: Cross multiply
    409,278.44x = 564,821.26 × 227,990.32
  4. Step 4: Simplify right side
    409,278.44x = 128,773,775,846.15
  5. Step 5: Solve for x
    x = 128,773,775,846.15/409,278.44
  6. Step 6: Final answer
    x = 314,636.11

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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.