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Finding the Fourth Proportional to 262,580.32, 393,773.20 and 206,529.40

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Solution

The fourth proportional to 262,580.32, 393,773.20 and 206,529.40 is: 309,717.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,580.32 : 393,773.20 = 206,529.40 : x
  2. Step 2: Convert to fraction form
    262,580.32/393,773.20 = 206,529.40/x
  3. Step 3: Cross multiply
    262,580.32x = 393,773.20 × 206,529.40
  4. Step 4: Simplify right side
    262,580.32x = 81,325,742,732.08
  5. Step 5: Solve for x
    x = 81,325,742,732.08/262,580.32
  6. Step 6: Final answer
    x = 309,717.59

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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.