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Finding the Fourth Proportional to 512,092.80, 768,139.20 and 287,222.40

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Solution

The fourth proportional to 512,092.80, 768,139.20 and 287,222.40 is: 430,833.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,092.80 : 768,139.20 = 287,222.40 : x
  2. Step 2: Convert to fraction form
    512,092.80/768,139.20 = 287,222.40/x
  3. Step 3: Cross multiply
    512,092.80x = 768,139.20 × 287,222.40
  4. Step 4: Simplify right side
    512,092.80x = 220,626,784,558.08
  5. Step 5: Solve for x
    x = 220,626,784,558.08/512,092.80
  6. Step 6: Final answer
    x = 430,833.60

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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.