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Finding the Fourth Proportional to 512,419.95, 768,214.50 and 213,124.59

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Solution

The fourth proportional to 512,419.95, 768,214.50 and 213,124.59 is: 319,514.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,419.95 : 768,214.50 = 213,124.59 : x
  2. Step 2: Convert to fraction form
    512,419.95/768,214.50 = 213,124.59/x
  3. Step 3: Cross multiply
    512,419.95x = 768,214.50 × 213,124.59
  4. Step 4: Simplify right side
    512,419.95x = 163,725,400,344.56
  5. Step 5: Solve for x
    x = 163,725,400,344.56/512,419.95
  6. Step 6: Final answer
    x = 319,514.10

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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.