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Finding the Fourth Proportional to 215,254.20, 322,881.30 and 165,430.20

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Solution

The fourth proportional to 215,254.20, 322,881.30 and 165,430.20 is: 248,145.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,254.20 : 322,881.30 = 165,430.20 : x
  2. Step 2: Convert to fraction form
    215,254.20/322,881.30 = 165,430.20/x
  3. Step 3: Cross multiply
    215,254.20x = 322,881.30 × 165,430.20
  4. Step 4: Simplify right side
    215,254.20x = 53,414,318,035.26
  5. Step 5: Solve for x
    x = 53,414,318,035.26/215,254.20
  6. Step 6: Final answer
    x = 248,145.30

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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.