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Finding the Fourth Proportional to 289,138.20, 433,901.70 and 162,778.20

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Solution

The fourth proportional to 289,138.20, 433,901.70 and 162,778.20 is: 244,276.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,138.20 : 433,901.70 = 162,778.20 : x
  2. Step 2: Convert to fraction form
    289,138.20/433,901.70 = 162,778.20/x
  3. Step 3: Cross multiply
    289,138.20x = 433,901.70 × 162,778.20
  4. Step 4: Simplify right side
    289,138.20x = 70,629,737,702.94
  5. Step 5: Solve for x
    x = 70,629,737,702.94/289,138.20
  6. Step 6: Final answer
    x = 244,276.74

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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.