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Finding the Fourth Proportional to 268,586.40, 403,065.90 and 202,166.40

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Solution

The fourth proportional to 268,586.40, 403,065.90 and 202,166.40 is: 303,389.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,586.40 : 403,065.90 = 202,166.40 : x
  2. Step 2: Convert to fraction form
    268,586.40/403,065.90 = 202,166.40/x
  3. Step 3: Cross multiply
    268,586.40x = 403,065.90 × 202,166.40
  4. Step 4: Simplify right side
    268,586.40x = 81,486,381,965.76
  5. Step 5: Solve for x
    x = 81,486,381,965.76/268,586.40
  6. Step 6: Final answer
    x = 303,389.83

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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.