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Finding the Fourth Proportional to 409,271.28, 564,772.28 and 225,503.70

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Solution

The fourth proportional to 409,271.28, 564,772.28 and 225,503.70 is: 311,182.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,271.28 : 564,772.28 = 225,503.70 : x
  2. Step 2: Convert to fraction form
    409,271.28/564,772.28 = 225,503.70/x
  3. Step 3: Cross multiply
    409,271.28x = 564,772.28 × 225,503.70
  4. Step 4: Simplify right side
    409,271.28x = 127,358,238,797.44
  5. Step 5: Solve for x
    x = 127,358,238,797.44/409,271.28
  6. Step 6: Final answer
    x = 311,182.94

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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.