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Finding the Fourth Proportional to 314,447.49, 471,665.66 and 77,790.15

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Solution

The fourth proportional to 314,447.49, 471,665.66 and 77,790.15 is: 116,683.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,447.49 : 471,665.66 = 77,790.15 : x
  2. Step 2: Convert to fraction form
    314,447.49/471,665.66 = 77,790.15/x
  3. Step 3: Cross multiply
    314,447.49x = 471,665.66 × 77,790.15
  4. Step 4: Simplify right side
    314,447.49x = 36,690,942,052.30
  5. Step 5: Solve for x
    x = 36,690,942,052.30/314,447.49
  6. Step 6: Final answer
    x = 116,683.84

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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.