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Finding the Fourth Proportional to 312,767.77, 469,151.65 and 270,522.36

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Solution

The fourth proportional to 312,767.77, 469,151.65 and 270,522.36 is: 405,783.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,767.77 : 469,151.65 = 270,522.36 : x
  2. Step 2: Convert to fraction form
    312,767.77/469,151.65 = 270,522.36/x
  3. Step 3: Cross multiply
    312,767.77x = 469,151.65 × 270,522.36
  4. Step 4: Simplify right side
    312,767.77x = 126,916,012,249.20
  5. Step 5: Solve for x
    x = 126,916,012,249.20/312,767.77
  6. Step 6: Final answer
    x = 405,783.54

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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.