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Finding the Fourth Proportional to 642,168.34, 963,298.68 and 221,438.14

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Solution

The fourth proportional to 642,168.34, 963,298.68 and 221,438.14 is: 332,173.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,168.34 : 963,298.68 = 221,438.14 : x
  2. Step 2: Convert to fraction form
    642,168.34/963,298.68 = 221,438.14/x
  3. Step 3: Cross multiply
    642,168.34x = 963,298.68 × 221,438.14
  4. Step 4: Simplify right side
    642,168.34x = 213,311,067,963.66
  5. Step 5: Solve for x
    x = 213,311,067,963.66/642,168.34
  6. Step 6: Final answer
    x = 332,173.13

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1.5x scale

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.