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Finding the Fourth Proportional to 561,819.12, 775,311.78 and 307,186.74

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Solution

The fourth proportional to 561,819.12, 775,311.78 and 307,186.74 is: 423,918.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,819.12 : 775,311.78 = 307,186.74 : x
  2. Step 2: Convert to fraction form
    561,819.12/775,311.78 = 307,186.74/x
  3. Step 3: Cross multiply
    561,819.12x = 775,311.78 × 307,186.74
  4. Step 4: Simplify right side
    561,819.12x = 238,165,498,181.80
  5. Step 5: Solve for x
    x = 238,165,498,181.80/561,819.12
  6. Step 6: Final answer
    x = 423,918.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.