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Finding the Fourth Proportional to 288,537.84, 398,174.76 and 161,214.30

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Solution

The fourth proportional to 288,537.84, 398,174.76 and 161,214.30 is: 222,471.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,537.84 : 398,174.76 = 161,214.30 : x
  2. Step 2: Convert to fraction form
    288,537.84/398,174.76 = 161,214.30/x
  3. Step 3: Cross multiply
    288,537.84x = 398,174.76 × 161,214.30
  4. Step 4: Simplify right side
    288,537.84x = 64,191,465,211.07
  5. Step 5: Solve for x
    x = 64,191,465,211.07/288,537.84
  6. Step 6: Final answer
    x = 222,471.57

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1.5x scale

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.