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Finding the Fourth Proportional to 288,757.51, 398,475.35 and 161,432.80

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Solution

The fourth proportional to 288,757.51, 398,475.35 and 161,432.80 is: 222,771.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,757.51 : 398,475.35 = 161,432.80 : x
  2. Step 2: Convert to fraction form
    288,757.51/398,475.35 = 161,432.80/x
  3. Step 3: Cross multiply
    288,757.51x = 398,475.35 × 161,432.80
  4. Step 4: Simplify right side
    288,757.51x = 64,326,990,283.50
  5. Step 5: Solve for x
    x = 64,326,990,283.50/288,757.51
  6. Step 6: Final answer
    x = 222,771.66

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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.