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Finding the Fourth Proportional to 409,203.12, 564,715.56 and 225,449.16

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Solution

The fourth proportional to 409,203.12, 564,715.56 and 225,449.16 is: 311,128.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,203.12 : 564,715.56 = 225,449.16 : x
  2. Step 2: Convert to fraction form
    409,203.12/564,715.56 = 225,449.16/x
  3. Step 3: Cross multiply
    409,203.12x = 564,715.56 × 225,449.16
  4. Step 4: Simplify right side
    409,203.12x = 127,314,648,640.93
  5. Step 5: Solve for x
    x = 127,314,648,640.93/409,203.12
  6. Step 6: Final answer
    x = 311,128.25

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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.