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Finding the Fourth Proportional to 411,873.32, 616,645.20 and 261,741.44

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Solution

The fourth proportional to 411,873.32, 616,645.20 and 261,741.44 is: 391,871.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,873.32 : 616,645.20 = 261,741.44 : x
  2. Step 2: Convert to fraction form
    411,873.32/616,645.20 = 261,741.44/x
  3. Step 3: Cross multiply
    411,873.32x = 616,645.20 × 261,741.44
  4. Step 4: Simplify right side
    411,873.32x = 161,401,602,617.09
  5. Step 5: Solve for x
    x = 161,401,602,617.09/411,873.32
  6. Step 6: Final answer
    x = 391,871.95

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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.