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Finding the Fourth Proportional to 418,716.92, 577,812.75 and 227,730.26

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Solution

The fourth proportional to 418,716.92, 577,812.75 and 227,730.26 is: 314,258.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,716.92 : 577,812.75 = 227,730.26 : x
  2. Step 2: Convert to fraction form
    418,716.92/577,812.75 = 227,730.26/x
  3. Step 3: Cross multiply
    418,716.92x = 577,812.75 × 227,730.26
  4. Step 4: Simplify right side
    418,716.92x = 131,585,447,788.82
  5. Step 5: Solve for x
    x = 131,585,447,788.82/418,716.92
  6. Step 6: Final answer
    x = 314,258.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.