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Finding the Fourth Proportional to 785,874, 1,178,909.82 and 306,112.62

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Solution

The fourth proportional to 785,874, 1,178,909.82 and 306,112.62 is: 459,207.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    785,874 : 1,178,909.82 = 306,112.62 : x
  2. Step 2: Convert to fraction form
    785,874/1,178,909.82 = 306,112.62/x
  3. Step 3: Cross multiply
    785,874x = 1,178,909.82 × 306,112.62
  4. Step 4: Simplify right side
    785,874x = 360,879,173,743.93
  5. Step 5: Solve for x
    x = 360,879,173,743.93/785,874
  6. Step 6: Final answer
    x = 459,207.42

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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.