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Finding the Fourth Proportional to 418,388.28, 577,377.90 and 227,405.40

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Solution

The fourth proportional to 418,388.28, 577,377.90 and 227,405.40 is: 313,820.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,388.28 : 577,377.90 = 227,405.40 : x
  2. Step 2: Convert to fraction form
    418,388.28/577,377.90 = 227,405.40/x
  3. Step 3: Cross multiply
    418,388.28x = 577,377.90 × 227,405.40
  4. Step 4: Simplify right side
    418,388.28x = 131,298,852,300.66
  5. Step 5: Solve for x
    x = 131,298,852,300.66/418,388.28
  6. Step 6: Final answer
    x = 313,820.58

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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.