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Finding the Fourth Proportional to 290,150.20, 435,167.59 and 146,017.56

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Solution

The fourth proportional to 290,150.20, 435,167.59 and 146,017.56 is: 218,997.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,150.20 : 435,167.59 = 146,017.56 : x
  2. Step 2: Convert to fraction form
    290,150.20/435,167.59 = 146,017.56/x
  3. Step 3: Cross multiply
    290,150.20x = 435,167.59 × 146,017.56
  4. Step 4: Simplify right side
    290,150.20x = 63,542,109,999.59
  5. Step 5: Solve for x
    x = 63,542,109,999.59/290,150.20
  6. Step 6: Final answer
    x = 218,997.30

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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.