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Finding the Fourth Proportional to 407,139.25, 610,712.79 and 154,351.75

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Solution

The fourth proportional to 407,139.25, 610,712.79 and 154,351.75 is: 231,529.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,139.25 : 610,712.79 = 154,351.75 : x
  2. Step 2: Convert to fraction form
    407,139.25/610,712.79 = 154,351.75/x
  3. Step 3: Cross multiply
    407,139.25x = 610,712.79 × 154,351.75
  4. Step 4: Simplify right side
    407,139.25x = 94,264,587,883.88
  5. Step 5: Solve for x
    x = 94,264,587,883.88/407,139.25
  6. Step 6: Final answer
    x = 231,529.11

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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.