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Finding the Fourth Proportional to 469,546.80, 647,974.80 and 254,686.08

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Solution

The fourth proportional to 469,546.80, 647,974.80 and 254,686.08 is: 351,466.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,546.80 : 647,974.80 = 254,686.08 : x
  2. Step 2: Convert to fraction form
    469,546.80/647,974.80 = 254,686.08/x
  3. Step 3: Cross multiply
    469,546.80x = 647,974.80 × 254,686.08
  4. Step 4: Simplify right side
    469,546.80x = 165,030,161,750.78
  5. Step 5: Solve for x
    x = 165,030,161,750.78/469,546.80
  6. Step 6: Final answer
    x = 351,466.91

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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.