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Finding the Fourth Proportional to 409,295.52, 564,776.40 and 227,961.76

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Solution

The fourth proportional to 409,295.52, 564,776.40 and 227,961.76 is: 314,558.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,295.52 : 564,776.40 = 227,961.76 : x
  2. Step 2: Convert to fraction form
    409,295.52/564,776.40 = 227,961.76/x
  3. Step 3: Cross multiply
    409,295.52x = 564,776.40 × 227,961.76
  4. Step 4: Simplify right side
    409,295.52x = 128,747,422,150.46
  5. Step 5: Solve for x
    x = 128,747,422,150.46/409,295.52
  6. Step 6: Final answer
    x = 314,558.59

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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.