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Finding the Fourth Proportional to 314,245.82, 471,369.72 and 77,588.54

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Solution

The fourth proportional to 314,245.82, 471,369.72 and 77,588.54 is: 116,383.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,245.82 : 471,369.72 = 77,588.54 : x
  2. Step 2: Convert to fraction form
    314,245.82/471,369.72 = 77,588.54/x
  3. Step 3: Cross multiply
    314,245.82x = 471,369.72 × 77,588.54
  4. Step 4: Simplify right side
    314,245.82x = 36,572,888,375.01
  5. Step 5: Solve for x
    x = 36,572,888,375.01/314,245.82
  6. Step 6: Final answer
    x = 116,383.05

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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.