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Finding the Fourth Proportional to 278,869.68, 417,961.80 and 128,907

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Solution

The fourth proportional to 278,869.68, 417,961.80 and 128,907 is: 193,202.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,869.68 : 417,961.80 = 128,907 : x
  2. Step 2: Convert to fraction form
    278,869.68/417,961.80 = 128,907/x
  3. Step 3: Cross multiply
    278,869.68x = 417,961.80 × 128,907
  4. Step 4: Simplify right side
    278,869.68x = 53,878,201,752.60
  5. Step 5: Solve for x
    x = 53,878,201,752.60/278,869.68
  6. Step 6: Final answer
    x = 193,202.08

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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.