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Finding the Fourth Proportional to 278,099.63, 416,902.05 and 100,567.20

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Solution

The fourth proportional to 278,099.63, 416,902.05 and 100,567.20 is: 150,761.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,099.63 : 416,902.05 = 100,567.20 : x
  2. Step 2: Convert to fraction form
    278,099.63/416,902.05 = 100,567.20/x
  3. Step 3: Cross multiply
    278,099.63x = 416,902.05 × 100,567.20
  4. Step 4: Simplify right side
    278,099.63x = 41,926,671,842.76
  5. Step 5: Solve for x
    x = 41,926,671,842.76/278,099.63
  6. Step 6: Final answer
    x = 150,761.34

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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.