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Finding the Fourth Proportional to 418,245, 577,180.80 and 227,258.34

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Solution

The fourth proportional to 418,245, 577,180.80 and 227,258.34 is: 313,617.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,245 : 577,180.80 = 227,258.34 : x
  2. Step 2: Convert to fraction form
    418,245/577,180.80 = 227,258.34/x
  3. Step 3: Cross multiply
    418,245x = 577,180.80 × 227,258.34
  4. Step 4: Simplify right side
    418,245x = 131,169,150,487.87
  5. Step 5: Solve for x
    x = 131,169,150,487.87/418,245
  6. Step 6: Final answer
    x = 313,617.98

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1.5x scale

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.