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Finding the Fourth Proportional to 262,063.20, 393,386.40 and 143,965.20

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Solution

The fourth proportional to 262,063.20, 393,386.40 and 143,965.20 is: 216,107.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,063.20 : 393,386.40 = 143,965.20 : x
  2. Step 2: Convert to fraction form
    262,063.20/393,386.40 = 143,965.20/x
  3. Step 3: Cross multiply
    262,063.20x = 393,386.40 × 143,965.20
  4. Step 4: Simplify right side
    262,063.20x = 56,633,951,753.28
  5. Step 5: Solve for x
    x = 56,633,951,753.28/262,063.20
  6. Step 6: Final answer
    x = 216,107.99

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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.