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Finding the Fourth Proportional to 382,118.64, 527,319 and 220,969.20

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Solution

The fourth proportional to 382,118.64, 527,319 and 220,969.20 is: 304,934.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,118.64 : 527,319 = 220,969.20 : x
  2. Step 2: Convert to fraction form
    382,118.64/527,319 = 220,969.20/x
  3. Step 3: Cross multiply
    382,118.64x = 527,319 × 220,969.20
  4. Step 4: Simplify right side
    382,118.64x = 116,521,257,574.80
  5. Step 5: Solve for x
    x = 116,521,257,574.80/382,118.64
  6. Step 6: Final answer
    x = 304,934.76

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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.