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Finding the Fourth Proportional to 290,674.20, 401,135.06 and 159,857.02

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Solution

The fourth proportional to 290,674.20, 401,135.06 and 159,857.02 is: 220,605.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,674.20 : 401,135.06 = 159,857.02 : x
  2. Step 2: Convert to fraction form
    290,674.20/401,135.06 = 159,857.02/x
  3. Step 3: Cross multiply
    290,674.20x = 401,135.06 × 159,857.02
  4. Step 4: Simplify right side
    290,674.20x = 64,124,255,309.12
  5. Step 5: Solve for x
    x = 64,124,255,309.12/290,674.20
  6. Step 6: Final answer
    x = 220,605.25

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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.