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Finding the Fourth Proportional to 213,628.49, 320,344.12 and 78,658.67

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Solution

The fourth proportional to 213,628.49, 320,344.12 and 78,658.67 is: 117,951.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,628.49 : 320,344.12 = 78,658.67 : x
  2. Step 2: Convert to fraction form
    213,628.49/320,344.12 = 78,658.67/x
  3. Step 3: Cross multiply
    213,628.49x = 320,344.12 × 78,658.67
  4. Step 4: Simplify right side
    213,628.49x = 25,197,841,076.31
  5. Step 5: Solve for x
    x = 25,197,841,076.31/213,628.49
  6. Step 6: Final answer
    x = 117,951.69

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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.