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Finding the Fourth Proportional to 361,838.40, 542,311.20 and 262,340.16

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Solution

The fourth proportional to 361,838.40, 542,311.20 and 262,340.16 is: 393,186.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,838.40 : 542,311.20 = 262,340.16 : x
  2. Step 2: Convert to fraction form
    361,838.40/542,311.20 = 262,340.16/x
  3. Step 3: Cross multiply
    361,838.40x = 542,311.20 × 262,340.16
  4. Step 4: Simplify right side
    361,838.40x = 142,270,006,977.79
  5. Step 5: Solve for x
    x = 142,270,006,977.79/361,838.40
  6. Step 6: Final answer
    x = 393,186.59

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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.