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Finding the Fourth Proportional to 268,903.40, 403,338.78 and 119,099.72

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Solution

The fourth proportional to 268,903.40, 403,338.78 and 119,099.72 is: 178,642.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,903.40 : 403,338.78 = 119,099.72 : x
  2. Step 2: Convert to fraction form
    268,903.40/403,338.78 = 119,099.72/x
  3. Step 3: Cross multiply
    268,903.40x = 403,338.78 × 119,099.72
  4. Step 4: Simplify right side
    268,903.40x = 48,037,535,763.14
  5. Step 5: Solve for x
    x = 48,037,535,763.14/268,903.40
  6. Step 6: Final answer
    x = 178,642.35

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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.