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Finding the Fourth Proportional to 408,857.40, 564,155.82 and 227,564.62

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Solution

The fourth proportional to 408,857.40, 564,155.82 and 227,564.62 is: 314,001.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,857.40 : 564,155.82 = 227,564.62 : x
  2. Step 2: Convert to fraction form
    408,857.40/564,155.82 = 227,564.62/x
  3. Step 3: Cross multiply
    408,857.40x = 564,155.82 × 227,564.62
  4. Step 4: Simplify right side
    408,857.40x = 128,381,904,799.09
  5. Step 5: Solve for x
    x = 128,381,904,799.09/408,857.40
  6. Step 6: Final answer
    x = 314,001.67

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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.