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Finding the Fourth Proportional to 388,406.64, 536,166.84 and 261,156

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Solution

The fourth proportional to 388,406.64, 536,166.84 and 261,156 is: 360,506.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,406.64 : 536,166.84 = 261,156 : x
  2. Step 2: Convert to fraction form
    388,406.64/536,166.84 = 261,156/x
  3. Step 3: Cross multiply
    388,406.64x = 536,166.84 × 261,156
  4. Step 4: Simplify right side
    388,406.64x = 140,023,187,267.04
  5. Step 5: Solve for x
    x = 140,023,187,267.04/388,406.64
  6. Step 6: Final answer
    x = 360,506.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.