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Finding the Fourth Proportional to 262,266.71, 361,914.83 and 154,815.96

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Solution

The fourth proportional to 262,266.71, 361,914.83 and 154,815.96 is: 213,638.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,266.71 : 361,914.83 = 154,815.96 : x
  2. Step 2: Convert to fraction form
    262,266.71/361,914.83 = 154,815.96/x
  3. Step 3: Cross multiply
    262,266.71x = 361,914.83 × 154,815.96
  4. Step 4: Simplify right side
    262,266.71x = 56,030,191,843.42
  5. Step 5: Solve for x
    x = 56,030,191,843.42/262,266.71
  6. Step 6: Final answer
    x = 213,638.21

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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.