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Finding the Fourth Proportional to 286,035.06, 428,885.73 and 86,295.54

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Solution

The fourth proportional to 286,035.06, 428,885.73 and 86,295.54 is: 129,392.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,035.06 : 428,885.73 = 86,295.54 : x
  2. Step 2: Convert to fraction form
    286,035.06/428,885.73 = 86,295.54/x
  3. Step 3: Cross multiply
    286,035.06x = 428,885.73 × 86,295.54
  4. Step 4: Simplify right side
    286,035.06x = 37,010,925,668.64
  5. Step 5: Solve for x
    x = 37,010,925,668.64/286,035.06
  6. Step 6: Final answer
    x = 129,392.97

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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.