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Finding the Fourth Proportional to 512,132.60, 768,541.73 and 212,613.43

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Solution

The fourth proportional to 512,132.60, 768,541.73 and 212,613.43 is: 319,062.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,132.60 : 768,541.73 = 212,613.43 : x
  2. Step 2: Convert to fraction form
    512,132.60/768,541.73 = 212,613.43/x
  3. Step 3: Cross multiply
    512,132.60x = 768,541.73 × 212,613.43
  4. Step 4: Simplify right side
    512,132.60x = 163,402,293,313.43
  5. Step 5: Solve for x
    x = 163,402,293,313.43/512,132.60
  6. Step 6: Final answer
    x = 319,062.47

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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.