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Finding the Fourth Proportional to 278,575.72, 418,066.48 and 101,097.02

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Solution

The fourth proportional to 278,575.72, 418,066.48 and 101,097.02 is: 151,719.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,575.72 : 418,066.48 = 101,097.02 : x
  2. Step 2: Convert to fraction form
    278,575.72/418,066.48 = 101,097.02/x
  3. Step 3: Cross multiply
    278,575.72x = 418,066.48 × 101,097.02
  4. Step 4: Simplify right side
    278,575.72x = 42,265,275,289.89
  5. Step 5: Solve for x
    x = 42,265,275,289.89/278,575.72
  6. Step 6: Final answer
    x = 151,719.16

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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.