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Finding the Fourth Proportional to 285,526, 428,313.30 and 75,164.55

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Solution

The fourth proportional to 285,526, 428,313.30 and 75,164.55 is: 112,753.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,526 : 428,313.30 = 75,164.55 : x
  2. Step 2: Convert to fraction form
    285,526/428,313.30 = 75,164.55/x
  3. Step 3: Cross multiply
    285,526x = 428,313.30 × 75,164.55
  4. Step 4: Simplify right side
    285,526x = 32,193,976,453.52
  5. Step 5: Solve for x
    x = 32,193,976,453.52/285,526
  6. Step 6: Final answer
    x = 112,753.22

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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.