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Finding the Fourth Proportional to 512,421.70, 768,217.12 and 213,126.34

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Solution

The fourth proportional to 512,421.70, 768,217.12 and 213,126.34 is: 319,516.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,421.70 : 768,217.12 = 213,126.34 : x
  2. Step 2: Convert to fraction form
    512,421.70/768,217.12 = 213,126.34/x
  3. Step 3: Cross multiply
    512,421.70x = 768,217.12 × 213,126.34
  4. Step 4: Simplify right side
    512,421.70x = 163,727,303,110.94
  5. Step 5: Solve for x
    x = 163,727,303,110.94/512,421.70
  6. Step 6: Final answer
    x = 319,516.72

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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.