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Finding the Fourth Proportional to 290,720.61, 401,227.70 and 161,671.95

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Solution

The fourth proportional to 290,720.61, 401,227.70 and 161,671.95 is: 223,125.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,720.61 : 401,227.70 = 161,671.95 : x
  2. Step 2: Convert to fraction form
    290,720.61/401,227.70 = 161,671.95/x
  3. Step 3: Cross multiply
    290,720.61x = 401,227.70 × 161,671.95
  4. Step 4: Simplify right side
    290,720.61x = 64,867,263,844.66
  5. Step 5: Solve for x
    x = 64,867,263,844.66/290,720.61
  6. Step 6: Final answer
    x = 223,125.78

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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.