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Finding the Fourth Proportional to 415,611.80, 623,271.90 and 215,865.80

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Solution

The fourth proportional to 415,611.80, 623,271.90 and 215,865.80 is: 323,722.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,611.80 : 623,271.90 = 215,865.80 : x
  2. Step 2: Convert to fraction form
    415,611.80/623,271.90 = 215,865.80/x
  3. Step 3: Cross multiply
    415,611.80x = 623,271.90 × 215,865.80
  4. Step 4: Simplify right side
    415,611.80x = 134,543,087,311.02
  5. Step 5: Solve for x
    x = 134,543,087,311.02/415,611.80
  6. Step 6: Final answer
    x = 323,722.97

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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.