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Finding the Fourth Proportional to 314,236.08, 471,355.10 and 77,578.78

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Solution

The fourth proportional to 314,236.08, 471,355.10 and 77,578.78 is: 116,368.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,236.08 : 471,355.10 = 77,578.78 : x
  2. Step 2: Convert to fraction form
    314,236.08/471,355.10 = 77,578.78/x
  3. Step 3: Cross multiply
    314,236.08x = 471,355.10 × 77,578.78
  4. Step 4: Simplify right side
    314,236.08x = 36,567,153,604.78
  5. Step 5: Solve for x
    x = 36,567,153,604.78/314,236.08
  6. Step 6: Final answer
    x = 116,368.41

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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.