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Finding the Fourth Proportional to 288,568.23, 432,874.08 and 86,148.33

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Solution

The fourth proportional to 288,568.23, 432,874.08 and 86,148.33 is: 129,228.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,568.23 : 432,874.08 = 86,148.33 : x
  2. Step 2: Convert to fraction form
    288,568.23/432,874.08 = 86,148.33/x
  3. Step 3: Cross multiply
    288,568.23x = 432,874.08 × 86,148.33
  4. Step 4: Simplify right side
    288,568.23x = 37,291,379,092.29
  5. Step 5: Solve for x
    x = 37,291,379,092.29/288,568.23
  6. Step 6: Final answer
    x = 129,228.98

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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.