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Finding the Fourth Proportional to 278,563.05, 418,010.56 and 101,083.88

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Solution

The fourth proportional to 278,563.05, 418,010.56 and 101,083.88 is: 151,686.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,563.05 : 418,010.56 = 101,083.88 : x
  2. Step 2: Convert to fraction form
    278,563.05/418,010.56 = 101,083.88/x
  3. Step 3: Cross multiply
    278,563.05x = 418,010.56 × 101,083.88
  4. Step 4: Simplify right side
    278,563.05x = 42,254,130,078.09
  5. Step 5: Solve for x
    x = 42,254,130,078.09/278,563.05
  6. Step 6: Final answer
    x = 151,686.05

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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.