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Finding the Fourth Proportional to 386,199.90, 578,766.60 and 278,727.08

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Solution

The fourth proportional to 386,199.90, 578,766.60 and 278,727.08 is: 417,705.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,199.90 : 578,766.60 = 278,727.08 : x
  2. Step 2: Convert to fraction form
    386,199.90/578,766.60 = 278,727.08/x
  3. Step 3: Cross multiply
    386,199.90x = 578,766.60 × 278,727.08
  4. Step 4: Simplify right side
    386,199.90x = 161,317,921,525.70
  5. Step 5: Solve for x
    x = 161,317,921,525.70/386,199.90
  6. Step 6: Final answer
    x = 417,705.76

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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.