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Finding the Fourth Proportional to 262,494.80, 393,742.20 and 210,006.80

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Solution

The fourth proportional to 262,494.80, 393,742.20 and 210,006.80 is: 315,010.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,494.80 : 393,742.20 = 210,006.80 : x
  2. Step 2: Convert to fraction form
    262,494.80/393,742.20 = 210,006.80/x
  3. Step 3: Cross multiply
    262,494.80x = 393,742.20 × 210,006.80
  4. Step 4: Simplify right side
    262,494.80x = 82,688,539,446.96
  5. Step 5: Solve for x
    x = 82,688,539,446.96/262,494.80
  6. Step 6: Final answer
    x = 315,010.20

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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.