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Finding the Fourth Proportional to 407,436.56, 611,754.65 and 227,873.78

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Solution

The fourth proportional to 407,436.56, 611,754.65 and 227,873.78 is: 342,146.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,436.56 : 611,754.65 = 227,873.78 : x
  2. Step 2: Convert to fraction form
    407,436.56/611,754.65 = 227,873.78/x
  3. Step 3: Cross multiply
    407,436.56x = 611,754.65 × 227,873.78
  4. Step 4: Simplify right side
    407,436.56x = 139,402,844,397.98
  5. Step 5: Solve for x
    x = 139,402,844,397.98/407,436.56
  6. Step 6: Final answer
    x = 342,146.13

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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.