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Finding the Fourth Proportional to 512,780.10, 769,862.70 and 299,766.30

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Solution

The fourth proportional to 512,780.10, 769,862.70 and 299,766.30 is: 450,054.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,780.10 : 769,862.70 = 299,766.30 : x
  2. Step 2: Convert to fraction form
    512,780.10/769,862.70 = 299,766.30/x
  3. Step 3: Cross multiply
    512,780.10x = 769,862.70 × 299,766.30
  4. Step 4: Simplify right side
    512,780.10x = 230,778,893,087.01
  5. Step 5: Solve for x
    x = 230,778,893,087.01/512,780.10
  6. Step 6: Final answer
    x = 450,054.31

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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.