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Finding the Fourth Proportional to 409,190.88, 564,661.20 and 225,393.72

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Solution

The fourth proportional to 409,190.88, 564,661.20 and 225,393.72 is: 311,031.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,190.88 : 564,661.20 = 225,393.72 : x
  2. Step 2: Convert to fraction form
    409,190.88/564,661.20 = 225,393.72/x
  3. Step 3: Cross multiply
    409,190.88x = 564,661.20 × 225,393.72
  4. Step 4: Simplify right side
    409,190.88x = 127,271,088,407.66
  5. Step 5: Solve for x
    x = 127,271,088,407.66/409,190.88
  6. Step 6: Final answer
    x = 311,031.10

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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.