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Finding the Fourth Proportional to 415,639.72, 623,265.81 and 215,906.50

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Solution

The fourth proportional to 415,639.72, 623,265.81 and 215,906.50 is: 323,759.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,639.72 : 623,265.81 = 215,906.50 : x
  2. Step 2: Convert to fraction form
    415,639.72/623,265.81 = 215,906.50/x
  3. Step 3: Cross multiply
    415,639.72x = 623,265.81 × 215,906.50
  4. Step 4: Simplify right side
    415,639.72x = 134,567,139,606.77
  5. Step 5: Solve for x
    x = 134,567,139,606.77/415,639.72
  6. Step 6: Final answer
    x = 323,759.10

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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.