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Finding the Fourth Proportional to 285,970.20, 428,958.54 and 86,292.51

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Solution

The fourth proportional to 285,970.20, 428,958.54 and 86,292.51 is: 129,439.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,970.20 : 428,958.54 = 86,292.51 : x
  2. Step 2: Convert to fraction form
    285,970.20/428,958.54 = 86,292.51/x
  3. Step 3: Cross multiply
    285,970.20x = 428,958.54 × 86,292.51
  4. Step 4: Simplify right side
    285,970.20x = 37,015,909,102.54
  5. Step 5: Solve for x
    x = 37,015,909,102.54/285,970.20
  6. Step 6: Final answer
    x = 129,439.74

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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.