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Finding the Fourth Proportional to 407,943.60, 612,134.10 and 171,310.20

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Solution

The fourth proportional to 407,943.60, 612,134.10 and 171,310.20 is: 257,057.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,943.60 : 612,134.10 = 171,310.20 : x
  2. Step 2: Convert to fraction form
    407,943.60/612,134.10 = 171,310.20/x
  3. Step 3: Cross multiply
    407,943.60x = 612,134.10 × 171,310.20
  4. Step 4: Simplify right side
    407,943.60x = 104,864,815,097.82
  5. Step 5: Solve for x
    x = 104,864,815,097.82/407,943.60
  6. Step 6: Final answer
    x = 257,057.14

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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.