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Finding the Fourth Proportional to 281,546.66, 421,260.51 and 197,470.90

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Solution

The fourth proportional to 281,546.66, 421,260.51 and 197,470.90 is: 295,463.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,546.66 : 421,260.51 = 197,470.90 : x
  2. Step 2: Convert to fraction form
    281,546.66/421,260.51 = 197,470.90/x
  3. Step 3: Cross multiply
    281,546.66x = 421,260.51 × 197,470.90
  4. Step 4: Simplify right side
    281,546.66x = 83,186,689,937.86
  5. Step 5: Solve for x
    x = 83,186,689,937.86/281,546.66
  6. Step 6: Final answer
    x = 295,463.25

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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.