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Finding the Fourth Proportional to 408,054.70, 612,082.05 and 108,534.70

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Solution

The fourth proportional to 408,054.70, 612,082.05 and 108,534.70 is: 162,802.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,054.70 : 612,082.05 = 108,534.70 : x
  2. Step 2: Convert to fraction form
    408,054.70/612,082.05 = 108,534.70/x
  3. Step 3: Cross multiply
    408,054.70x = 612,082.05 × 108,534.70
  4. Step 4: Simplify right side
    408,054.70x = 66,432,141,672.14
  5. Step 5: Solve for x
    x = 66,432,141,672.14/408,054.70
  6. Step 6: Final answer
    x = 162,802.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.