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Finding the Fourth Proportional to 407,604.96, 611,172 and 157,995.36

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Solution

The fourth proportional to 407,604.96, 611,172 and 157,995.36 is: 236,901.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,604.96 : 611,172 = 157,995.36 : x
  2. Step 2: Convert to fraction form
    407,604.96/611,172 = 157,995.36/x
  3. Step 3: Cross multiply
    407,604.96x = 611,172 × 157,995.36
  4. Step 4: Simplify right side
    407,604.96x = 96,562,340,161.92
  5. Step 5: Solve for x
    x = 96,562,340,161.92/407,604.96
  6. Step 6: Final answer
    x = 236,901.78

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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.