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Finding the Fourth Proportional to 412,281.60, 618,422.40 and 131,827.20

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Solution

The fourth proportional to 412,281.60, 618,422.40 and 131,827.20 is: 197,740.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,281.60 : 618,422.40 = 131,827.20 : x
  2. Step 2: Convert to fraction form
    412,281.60/618,422.40 = 131,827.20/x
  3. Step 3: Cross multiply
    412,281.60x = 618,422.40 × 131,827.20
  4. Step 4: Simplify right side
    412,281.60x = 81,524,893,409.28
  5. Step 5: Solve for x
    x = 81,524,893,409.28/412,281.60
  6. Step 6: Final answer
    x = 197,740.80

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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.