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Finding the Fourth Proportional to 210,857.60, 290,990.76 and 115,364.30

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Solution

The fourth proportional to 210,857.60, 290,990.76 and 115,364.30 is: 159,206.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,857.60 : 290,990.76 = 115,364.30 : x
  2. Step 2: Convert to fraction form
    210,857.60/290,990.76 = 115,364.30/x
  3. Step 3: Cross multiply
    210,857.60x = 290,990.76 × 115,364.30
  4. Step 4: Simplify right side
    210,857.60x = 33,569,944,757.05
  5. Step 5: Solve for x
    x = 33,569,944,757.05/210,857.60
  6. Step 6: Final answer
    x = 159,206.71

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1.5x scale

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.