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Finding the Fourth Proportional to 415,611.30, 623,271.15 and 215,865.30

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Solution

The fourth proportional to 415,611.30, 623,271.15 and 215,865.30 is: 323,722.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,611.30 : 623,271.15 = 215,865.30 : x
  2. Step 2: Convert to fraction form
    415,611.30/623,271.15 = 215,865.30/x
  3. Step 3: Cross multiply
    415,611.30x = 623,271.15 × 215,865.30
  4. Step 4: Simplify right side
    415,611.30x = 134,542,613,776.10
  5. Step 5: Solve for x
    x = 134,542,613,776.10/415,611.30
  6. Step 6: Final answer
    x = 323,722.22

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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.