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Finding the Fourth Proportional to 285,955.14, 428,793.75 and 86,238.30

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Solution

The fourth proportional to 285,955.14, 428,793.75 and 86,238.30 is: 129,315.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,955.14 : 428,793.75 = 86,238.30 : x
  2. Step 2: Convert to fraction form
    285,955.14/428,793.75 = 86,238.30/x
  3. Step 3: Cross multiply
    285,955.14x = 428,793.75 × 86,238.30
  4. Step 4: Simplify right side
    285,955.14x = 36,978,444,050.63
  5. Step 5: Solve for x
    x = 36,978,444,050.63/285,955.14
  6. Step 6: Final answer
    x = 129,315.54

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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.