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Finding the Fourth Proportional to 279,470.47, 419,212.59 and 101,977.42

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Solution

The fourth proportional to 279,470.47, 419,212.59 and 101,977.42 is: 152,968.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,470.47 : 419,212.59 = 101,977.42 : x
  2. Step 2: Convert to fraction form
    279,470.47/419,212.59 = 101,977.42/x
  3. Step 3: Cross multiply
    279,470.47x = 419,212.59 × 101,977.42
  4. Step 4: Simplify right side
    279,470.47x = 42,750,217,412.59
  5. Step 5: Solve for x
    x = 42,750,217,412.59/279,470.47
  6. Step 6: Final answer
    x = 152,968.64

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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.