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Finding the Fourth Proportional to 314,219.05, 471,322.19 and 77,563.78

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Solution

The fourth proportional to 314,219.05, 471,322.19 and 77,563.78 is: 116,344.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,219.05 : 471,322.19 = 77,563.78 : x
  2. Step 2: Convert to fraction form
    314,219.05/471,322.19 = 77,563.78/x
  3. Step 3: Cross multiply
    314,219.05x = 471,322.19 × 77,563.78
  4. Step 4: Simplify right side
    314,219.05x = 36,557,529,669.88
  5. Step 5: Solve for x
    x = 36,557,529,669.88/314,219.05
  6. Step 6: Final answer
    x = 116,344.09

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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.