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Finding the Fourth Proportional to 409,096, 564,604.32 and 230,282.56

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Solution

The fourth proportional to 409,096, 564,604.32 and 230,282.56 is: 317,819.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,096 : 564,604.32 = 230,282.56 : x
  2. Step 2: Convert to fraction form
    409,096/564,604.32 = 230,282.56/x
  3. Step 3: Cross multiply
    409,096x = 564,604.32 × 230,282.56
  4. Step 4: Simplify right side
    409,096x = 130,018,528,196.66
  5. Step 5: Solve for x
    x = 130,018,528,196.66/409,096
  6. Step 6: Final answer
    x = 317,819.11

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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.