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Finding the Fourth Proportional to 407,954.12, 612,041.92 and 123,633.18

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Solution

The fourth proportional to 407,954.12, 612,041.92 and 123,633.18 is: 185,483.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,954.12 : 612,041.92 = 123,633.18 : x
  2. Step 2: Convert to fraction form
    407,954.12/612,041.92 = 123,633.18/x
  3. Step 3: Cross multiply
    407,954.12x = 612,041.92 × 123,633.18
  4. Step 4: Simplify right side
    407,954.12x = 75,668,688,553.82
  5. Step 5: Solve for x
    x = 75,668,688,553.82/407,954.12
  6. Step 6: Final answer
    x = 185,483.33

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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.