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Finding the Fourth Proportional to 290,200.46, 400,494.58 and 193,238.06

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Solution

The fourth proportional to 290,200.46, 400,494.58 and 193,238.06 is: 266,680.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,200.46 : 400,494.58 = 193,238.06 : x
  2. Step 2: Convert to fraction form
    290,200.46/400,494.58 = 193,238.06/x
  3. Step 3: Cross multiply
    290,200.46x = 400,494.58 × 193,238.06
  4. Step 4: Simplify right side
    290,200.46x = 77,390,793,194.15
  5. Step 5: Solve for x
    x = 77,390,793,194.15/290,200.46
  6. Step 6: Final answer
    x = 266,680.47

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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.