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Finding the Fourth Proportional to 403,601.54, 605,429.78 and 133,729.04

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Solution

The fourth proportional to 403,601.54, 605,429.78 and 133,729.04 is: 200,602.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,601.54 : 605,429.78 = 133,729.04 : x
  2. Step 2: Convert to fraction form
    403,601.54/605,429.78 = 133,729.04/x
  3. Step 3: Cross multiply
    403,601.54x = 605,429.78 × 133,729.04
  4. Step 4: Simplify right side
    403,601.54x = 80,963,544,111.74
  5. Step 5: Solve for x
    x = 80,963,544,111.74/403,601.54
  6. Step 6: Final answer
    x = 200,602.67

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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.