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Finding the Fourth Proportional to 314,450.49, 471,670.16 and 77,793.15

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Solution

The fourth proportional to 314,450.49, 471,670.16 and 77,793.15 is: 116,688.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,450.49 : 471,670.16 = 77,793.15 : x
  2. Step 2: Convert to fraction form
    314,450.49/471,670.16 = 77,793.15/x
  3. Step 3: Cross multiply
    314,450.49x = 471,670.16 × 77,793.15
  4. Step 4: Simplify right side
    314,450.49x = 36,692,707,118.44
  5. Step 5: Solve for x
    x = 36,692,707,118.44/314,450.49
  6. Step 6: Final answer
    x = 116,688.34

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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.