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Finding the Fourth Proportional to 408,068.10, 611,883.45 and 171,143.10

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Solution

The fourth proportional to 408,068.10, 611,883.45 and 171,143.10 is: 256,622.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,068.10 : 611,883.45 = 171,143.10 : x
  2. Step 2: Convert to fraction form
    408,068.10/611,883.45 = 171,143.10/x
  3. Step 3: Cross multiply
    408,068.10x = 611,883.45 × 171,143.10
  4. Step 4: Simplify right side
    408,068.10x = 104,719,630,471.70
  5. Step 5: Solve for x
    x = 104,719,630,471.70/408,068.10
  6. Step 6: Final answer
    x = 256,622.93

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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.