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Finding the Fourth Proportional to 311,438.52, 429,337.26 and 221,859

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Solution

The fourth proportional to 311,438.52, 429,337.26 and 221,859 is: 305,846.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,438.52 : 429,337.26 = 221,859 : x
  2. Step 2: Convert to fraction form
    311,438.52/429,337.26 = 221,859/x
  3. Step 3: Cross multiply
    311,438.52x = 429,337.26 × 221,859
  4. Step 4: Simplify right side
    311,438.52x = 95,252,335,166.34
  5. Step 5: Solve for x
    x = 95,252,335,166.34/311,438.52
  6. Step 6: Final answer
    x = 305,846.35

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1.5x scale

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.