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Finding the Fourth Proportional to 469,476, 647,876.88 and 268,272

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Solution

The fourth proportional to 469,476, 647,876.88 and 268,272 is: 370,215.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,476 : 647,876.88 = 268,272 : x
  2. Step 2: Convert to fraction form
    469,476/647,876.88 = 268,272/x
  3. Step 3: Cross multiply
    469,476x = 647,876.88 × 268,272
  4. Step 4: Simplify right side
    469,476x = 173,807,226,351.36
  5. Step 5: Solve for x
    x = 173,807,226,351.36/469,476
  6. Step 6: Final answer
    x = 370,215.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.