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Finding the Fourth Proportional to 288,968.66, 433,540.26 and 86,571.35

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Solution

The fourth proportional to 288,968.66, 433,540.26 and 86,571.35 is: 129,883.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,968.66 : 433,540.26 = 86,571.35 : x
  2. Step 2: Convert to fraction form
    288,968.66/433,540.26 = 86,571.35/x
  3. Step 3: Cross multiply
    288,968.66x = 433,540.26 × 86,571.35
  4. Step 4: Simplify right side
    288,968.66x = 37,532,165,587.55
  5. Step 5: Solve for x
    x = 37,532,165,587.55/288,968.66
  6. Step 6: Final answer
    x = 129,883.17

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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.