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Finding the Fourth Proportional to 268,118.48, 401,814.84 and 101,815.76

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Solution

The fourth proportional to 268,118.48, 401,814.84 and 101,815.76 is: 152,585.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,118.48 : 401,814.84 = 101,815.76 : x
  2. Step 2: Convert to fraction form
    268,118.48/401,814.84 = 101,815.76/x
  3. Step 3: Cross multiply
    268,118.48x = 401,814.84 × 101,815.76
  4. Step 4: Simplify right side
    268,118.48x = 40,911,083,313.88
  5. Step 5: Solve for x
    x = 40,911,083,313.88/268,118.48
  6. Step 6: Final answer
    x = 152,585.84

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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.