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Finding the Fourth Proportional to 288,384, 432,576 and 91,392

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Solution

The fourth proportional to 288,384, 432,576 and 91,392 is: 137,088

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,384 : 432,576 = 91,392 : x
  2. Step 2: Convert to fraction form
    288,384/432,576 = 91,392/x
  3. Step 3: Cross multiply
    288,384x = 432,576 × 91,392
  4. Step 4: Simplify right side
    288,384x = 39,533,985,792
  5. Step 5: Solve for x
    x = 39,533,985,792/288,384
  6. Step 6: Final answer
    x = 137,088

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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.