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Finding the Fourth Proportional to 290,414.09, 435,732.81 and 140,642.86

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Solution

The fourth proportional to 290,414.09, 435,732.81 and 140,642.86 is: 211,018.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,414.09 : 435,732.81 = 140,642.86 : x
  2. Step 2: Convert to fraction form
    290,414.09/435,732.81 = 140,642.86/x
  3. Step 3: Cross multiply
    290,414.09x = 435,732.81 × 140,642.86
  4. Step 4: Simplify right side
    290,414.09x = 61,282,708,594.24
  5. Step 5: Solve for x
    x = 61,282,708,594.24/290,414.09
  6. Step 6: Final answer
    x = 211,018.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.