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Finding the Fourth Proportional to 290,412.09, 435,729.81 and 140,640.86

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Solution

The fourth proportional to 290,412.09, 435,729.81 and 140,640.86 is: 211,015.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,412.09 : 435,729.81 = 140,640.86 : x
  2. Step 2: Convert to fraction form
    290,412.09/435,729.81 = 140,640.86/x
  3. Step 3: Cross multiply
    290,412.09x = 435,729.81 × 140,640.86
  4. Step 4: Simplify right side
    290,412.09x = 61,281,413,027.39
  5. Step 5: Solve for x
    x = 61,281,413,027.39/290,412.09
  6. Step 6: Final answer
    x = 211,015.36

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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.