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Finding the Fourth Proportional to 412,364.60, 618,546.90 and 272,281.40

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Solution

The fourth proportional to 412,364.60, 618,546.90 and 272,281.40 is: 408,422.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,364.60 : 618,546.90 = 272,281.40 : x
  2. Step 2: Convert to fraction form
    412,364.60/618,546.90 = 272,281.40/x
  3. Step 3: Cross multiply
    412,364.60x = 618,546.90 × 272,281.40
  4. Step 4: Simplify right side
    412,364.60x = 168,418,815,897.66
  5. Step 5: Solve for x
    x = 168,418,815,897.66/412,364.60
  6. Step 6: Final answer
    x = 408,422.10

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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.