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Finding the Fourth Proportional to 415,638.22, 623,263.56 and 215,905

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Solution

The fourth proportional to 415,638.22, 623,263.56 and 215,905 is: 323,756.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,638.22 : 623,263.56 = 215,905 : x
  2. Step 2: Convert to fraction form
    415,638.22/623,263.56 = 215,905/x
  3. Step 3: Cross multiply
    415,638.22x = 623,263.56 × 215,905
  4. Step 4: Simplify right side
    415,638.22x = 134,565,718,921.80
  5. Step 5: Solve for x
    x = 134,565,718,921.80/415,638.22
  6. Step 6: Final answer
    x = 323,756.85

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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.