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Finding the Fourth Proportional to 427,933.70, 641,657.55 and 161,702.90

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Solution

The fourth proportional to 427,933.70, 641,657.55 and 161,702.90 is: 242,462.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,933.70 : 641,657.55 = 161,702.90 : x
  2. Step 2: Convert to fraction form
    427,933.70/641,657.55 = 161,702.90/x
  3. Step 3: Cross multiply
    427,933.70x = 641,657.55 × 161,702.90
  4. Step 4: Simplify right side
    427,933.70x = 103,757,886,641.90
  5. Step 5: Solve for x
    x = 103,757,886,641.90/427,933.70
  6. Step 6: Final answer
    x = 242,462.53

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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.