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Finding the Fourth Proportional to 288,208, 432,313.92 and 91,216

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Solution

The fourth proportional to 288,208, 432,313.92 and 91,216 is: 136,824.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,208 : 432,313.92 = 91,216 : x
  2. Step 2: Convert to fraction form
    288,208/432,313.92 = 91,216/x
  3. Step 3: Cross multiply
    288,208x = 432,313.92 × 91,216
  4. Step 4: Simplify right side
    288,208x = 39,433,946,526.72
  5. Step 5: Solve for x
    x = 39,433,946,526.72/288,208
  6. Step 6: Final answer
    x = 136,824.61

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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.