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Finding the Fourth Proportional to 285,319.40, 428,286.30 and 160,903.40

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Solution

The fourth proportional to 285,319.40, 428,286.30 and 160,903.40 is: 241,528.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,319.40 : 428,286.30 = 160,903.40 : x
  2. Step 2: Convert to fraction form
    285,319.40/428,286.30 = 160,903.40/x
  3. Step 3: Cross multiply
    285,319.40x = 428,286.30 × 160,903.40
  4. Step 4: Simplify right side
    285,319.40x = 68,912,721,843.42
  5. Step 5: Solve for x
    x = 68,912,721,843.42/285,319.40
  6. Step 6: Final answer
    x = 241,528.34

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1.5x scale

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.