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Finding the Fourth Proportional to 314,967, 472,450.85 and 78,309.71

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Solution

The fourth proportional to 314,967, 472,450.85 and 78,309.71 is: 117,464.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,967 : 472,450.85 = 78,309.71 : x
  2. Step 2: Convert to fraction form
    314,967/472,450.85 = 78,309.71/x
  3. Step 3: Cross multiply
    314,967x = 472,450.85 × 78,309.71
  4. Step 4: Simplify right side
    314,967x = 36,997,489,052.75
  5. Step 5: Solve for x
    x = 36,997,489,052.75/314,967
  6. Step 6: Final answer
    x = 117,464.65

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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.