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Finding the Fourth Proportional to 304,591.75, 420,278.30 and 197,146.87

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Solution

The fourth proportional to 304,591.75, 420,278.30 and 197,146.87 is: 272,024.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,591.75 : 420,278.30 = 197,146.87 : x
  2. Step 2: Convert to fraction form
    304,591.75/420,278.30 = 197,146.87/x
  3. Step 3: Cross multiply
    304,591.75x = 420,278.30 × 197,146.87
  4. Step 4: Simplify right side
    304,591.75x = 82,856,550,388.19
  5. Step 5: Solve for x
    x = 82,856,550,388.19/304,591.75
  6. Step 6: Final answer
    x = 272,024.93

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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.