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Finding the Fourth Proportional to 297,642.15, 410,753.81 and 161,683.88

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Solution

The fourth proportional to 297,642.15, 410,753.81 and 161,683.88 is: 223,127.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,642.15 : 410,753.81 = 161,683.88 : x
  2. Step 2: Convert to fraction form
    297,642.15/410,753.81 = 161,683.88/x
  3. Step 3: Cross multiply
    297,642.15x = 410,753.81 × 161,683.88
  4. Step 4: Simplify right side
    297,642.15x = 66,412,267,671.81
  5. Step 5: Solve for x
    x = 66,412,267,671.81/297,642.15
  6. Step 6: Final answer
    x = 223,127.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.