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Finding the Fourth Proportional to 309,607, 464,416.26 and 87,996.76

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Solution

The fourth proportional to 309,607, 464,416.26 and 87,996.76 is: 131,996.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,607 : 464,416.26 = 87,996.76 : x
  2. Step 2: Convert to fraction form
    309,607/464,416.26 = 87,996.76/x
  3. Step 3: Cross multiply
    309,607x = 464,416.26 × 87,996.76
  4. Step 4: Simplify right side
    309,607x = 40,867,126,171.32
  5. Step 5: Solve for x
    x = 40,867,126,171.32/309,607
  6. Step 6: Final answer
    x = 131,996.78

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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.