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Finding the Fourth Proportional to 288,595.72, 398,254.74 and 161,272.36

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Solution

The fourth proportional to 288,595.72, 398,254.74 and 161,272.36 is: 222,551.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,595.72 : 398,254.74 = 161,272.36 : x
  2. Step 2: Convert to fraction form
    288,595.72/398,254.74 = 161,272.36/x
  3. Step 3: Cross multiply
    288,595.72x = 398,254.74 × 161,272.36
  4. Step 4: Simplify right side
    288,595.72x = 64,227,481,800.99
  5. Step 5: Solve for x
    x = 64,227,481,800.99/288,595.72
  6. Step 6: Final answer
    x = 222,551.75

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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.