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Finding the Fourth Proportional to 397,392.57, 548,416.17 and 227,659.50

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Solution

The fourth proportional to 397,392.57, 548,416.17 and 227,659.50 is: 314,178.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,392.57 : 548,416.17 = 227,659.50 : x
  2. Step 2: Convert to fraction form
    397,392.57/548,416.17 = 227,659.50/x
  3. Step 3: Cross multiply
    397,392.57x = 548,416.17 × 227,659.50
  4. Step 4: Simplify right side
    397,392.57x = 124,852,151,054.12
  5. Step 5: Solve for x
    x = 124,852,151,054.12/397,392.57
  6. Step 6: Final answer
    x = 314,178.37

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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.