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Finding the Fourth Proportional to 228,564.38, 315,419.74 and 133,136.66

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Solution

The fourth proportional to 228,564.38, 315,419.74 and 133,136.66 is: 183,729.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,564.38 : 315,419.74 = 133,136.66 : x
  2. Step 2: Convert to fraction form
    228,564.38/315,419.74 = 133,136.66/x
  3. Step 3: Cross multiply
    228,564.38x = 315,419.74 × 133,136.66
  4. Step 4: Simplify right side
    228,564.38x = 41,993,930,681.67
  5. Step 5: Solve for x
    x = 41,993,930,681.67/228,564.38
  6. Step 6: Final answer
    x = 183,729.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.