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Finding the Fourth Proportional to 268,004.10, 402,006.15 and 162,855.30

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Solution

The fourth proportional to 268,004.10, 402,006.15 and 162,855.30 is: 244,282.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,004.10 : 402,006.15 = 162,855.30 : x
  2. Step 2: Convert to fraction form
    268,004.10/402,006.15 = 162,855.30/x
  3. Step 3: Cross multiply
    268,004.10x = 402,006.15 × 162,855.30
  4. Step 4: Simplify right side
    268,004.10x = 65,468,832,160.10
  5. Step 5: Solve for x
    x = 65,468,832,160.10/268,004.10
  6. Step 6: Final answer
    x = 244,282.95

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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.