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Finding the Fourth Proportional to 413,812.80, 620,719.20 and 177,179.40

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Solution

The fourth proportional to 413,812.80, 620,719.20 and 177,179.40 is: 265,769.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,812.80 : 620,719.20 = 177,179.40 : x
  2. Step 2: Convert to fraction form
    413,812.80/620,719.20 = 177,179.40/x
  3. Step 3: Cross multiply
    413,812.80x = 620,719.20 × 177,179.40
  4. Step 4: Simplify right side
    413,812.80x = 109,978,655,424.48
  5. Step 5: Solve for x
    x = 109,978,655,424.48/413,812.80
  6. Step 6: Final answer
    x = 265,769.10

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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.