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Finding the Fourth Proportional to 285,971.52, 429,009.12 and 86,283.84

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Solution

The fourth proportional to 285,971.52, 429,009.12 and 86,283.84 is: 129,441.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,971.52 : 429,009.12 = 86,283.84 : x
  2. Step 2: Convert to fraction form
    285,971.52/429,009.12 = 86,283.84/x
  3. Step 3: Cross multiply
    285,971.52x = 429,009.12 × 86,283.84
  4. Step 4: Simplify right side
    285,971.52x = 37,016,554,268.62
  5. Step 5: Solve for x
    x = 37,016,554,268.62/285,971.52
  6. Step 6: Final answer
    x = 129,441.40

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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.