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Finding the Fourth Proportional to 314,238.78, 471,359.13 and 77,581.49

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Solution

The fourth proportional to 314,238.78, 471,359.13 and 77,581.49 is: 116,372.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,238.78 : 471,359.13 = 77,581.49 : x
  2. Step 2: Convert to fraction form
    314,238.78/471,359.13 = 77,581.49/x
  3. Step 3: Cross multiply
    314,238.78x = 471,359.13 × 77,581.49
  4. Step 4: Simplify right side
    314,238.78x = 36,568,741,273.71
  5. Step 5: Solve for x
    x = 36,568,741,273.71/314,238.78
  6. Step 6: Final answer
    x = 116,372.46

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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.