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Finding the Fourth Proportional to 407,902.90, 611,791.08 and 208,370.74

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Solution

The fourth proportional to 407,902.90, 611,791.08 and 208,370.74 is: 312,523.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,902.90 : 611,791.08 = 208,370.74 : x
  2. Step 2: Convert to fraction form
    407,902.90/611,791.08 = 208,370.74/x
  3. Step 3: Cross multiply
    407,902.90x = 611,791.08 × 208,370.74
  4. Step 4: Simplify right side
    407,902.90x = 127,479,360,065.00
  5. Step 5: Solve for x
    x = 127,479,360,065.00/407,902.90
  6. Step 6: Final answer
    x = 312,523.79

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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.