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Finding the Fourth Proportional to 208,390.17, 312,253.10 and 133,448.67

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Solution

The fourth proportional to 208,390.17, 312,253.10 and 133,448.67 is: 199,960.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,390.17 : 312,253.10 = 133,448.67 : x
  2. Step 2: Convert to fraction form
    208,390.17/312,253.10 = 133,448.67/x
  3. Step 3: Cross multiply
    208,390.17x = 312,253.10 × 133,448.67
  4. Step 4: Simplify right side
    208,390.17x = 41,669,760,231.13
  5. Step 5: Solve for x
    x = 41,669,760,231.13/208,390.17
  6. Step 6: Final answer
    x = 199,960.30

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1.5x scale

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.