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Finding the Fourth Proportional to 361,421.80, 541,614.30 and 265,906.60

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Solution

The fourth proportional to 361,421.80, 541,614.30 and 265,906.60 is: 398,478.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,421.80 : 541,614.30 = 265,906.60 : x
  2. Step 2: Convert to fraction form
    361,421.80/541,614.30 = 265,906.60/x
  3. Step 3: Cross multiply
    361,421.80x = 541,614.30 × 265,906.60
  4. Step 4: Simplify right side
    361,421.80x = 144,018,817,024.38
  5. Step 5: Solve for x
    x = 144,018,817,024.38/361,421.80
  6. Step 6: Final answer
    x = 398,478.50

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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.