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Finding the Fourth Proportional to 298,715.40, 448,073.10 and 111,702.60

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Solution

The fourth proportional to 298,715.40, 448,073.10 and 111,702.60 is: 167,553.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,715.40 : 448,073.10 = 111,702.60 : x
  2. Step 2: Convert to fraction form
    298,715.40/448,073.10 = 111,702.60/x
  3. Step 3: Cross multiply
    298,715.40x = 448,073.10 × 111,702.60
  4. Step 4: Simplify right side
    298,715.40x = 50,050,930,260.06
  5. Step 5: Solve for x
    x = 50,050,930,260.06/298,715.40
  6. Step 6: Final answer
    x = 167,553.90

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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.