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Finding the Fourth Proportional to 314,120.14, 471,185.21 and 77,462.90

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Solution

The fourth proportional to 314,120.14, 471,185.21 and 77,462.90 is: 116,195.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,120.14 : 471,185.21 = 77,462.90 : x
  2. Step 2: Convert to fraction form
    314,120.14/471,185.21 = 77,462.90/x
  3. Step 3: Cross multiply
    314,120.14x = 471,185.21 × 77,462.90
  4. Step 4: Simplify right side
    314,120.14x = 36,499,372,803.71
  5. Step 5: Solve for x
    x = 36,499,372,803.71/314,120.14
  6. Step 6: Final answer
    x = 116,195.58

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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.