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Finding the Fourth Proportional to 288,062.20, 397,466.49 and 165,530.91

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Solution

The fourth proportional to 288,062.20, 397,466.49 and 165,530.91 is: 228,398.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,062.20 : 397,466.49 = 165,530.91 : x
  2. Step 2: Convert to fraction form
    288,062.20/397,466.49 = 165,530.91/x
  3. Step 3: Cross multiply
    288,062.20x = 397,466.49 × 165,530.91
  4. Step 4: Simplify right side
    288,062.20x = 65,792,988,263.03
  5. Step 5: Solve for x
    x = 65,792,988,263.03/288,062.20
  6. Step 6: Final answer
    x = 228,398.55

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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.