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Finding the Fourth Proportional to 279,842.04, 419,886.72 and 146,690.46

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Solution

The fourth proportional to 279,842.04, 419,886.72 and 146,690.46 is: 220,100.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,842.04 : 419,886.72 = 146,690.46 : x
  2. Step 2: Convert to fraction form
    279,842.04/419,886.72 = 146,690.46/x
  3. Step 3: Cross multiply
    279,842.04x = 419,886.72 × 146,690.46
  4. Step 4: Simplify right side
    279,842.04x = 61,593,376,104.69
  5. Step 5: Solve for x
    x = 61,593,376,104.69/279,842.04
  6. Step 6: Final answer
    x = 220,100.51

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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.