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Finding the Fourth Proportional to 412,780.32, 619,171.32 and 113,265

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Solution

The fourth proportional to 412,780.32, 619,171.32 and 113,265 is: 169,897.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,780.32 : 619,171.32 = 113,265 : x
  2. Step 2: Convert to fraction form
    412,780.32/619,171.32 = 113,265/x
  3. Step 3: Cross multiply
    412,780.32x = 619,171.32 × 113,265
  4. Step 4: Simplify right side
    412,780.32x = 70,130,439,559.80
  5. Step 5: Solve for x
    x = 70,130,439,559.80/412,780.32
  6. Step 6: Final answer
    x = 169,897.73

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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.