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Finding the Fourth Proportional to 361,421.30, 541,613.55 and 265,906.10

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Solution

The fourth proportional to 361,421.30, 541,613.55 and 265,906.10 is: 398,477.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,421.30 : 541,613.55 = 265,906.10 : x
  2. Step 2: Convert to fraction form
    361,421.30/541,613.55 = 265,906.10/x
  3. Step 3: Cross multiply
    361,421.30x = 541,613.55 × 265,906.10
  4. Step 4: Simplify right side
    361,421.30x = 144,018,346,787.66
  5. Step 5: Solve for x
    x = 144,018,346,787.66/361,421.30
  6. Step 6: Final answer
    x = 398,477.75

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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.