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Finding the Fourth Proportional to 512,230.20, 768,345.30 and 302,105.40

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Solution

The fourth proportional to 512,230.20, 768,345.30 and 302,105.40 is: 453,158.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,230.20 : 768,345.30 = 302,105.40 : x
  2. Step 2: Convert to fraction form
    512,230.20/768,345.30 = 302,105.40/x
  3. Step 3: Cross multiply
    512,230.20x = 768,345.30 × 302,105.40
  4. Step 4: Simplify right side
    512,230.20x = 232,121,264,194.62
  5. Step 5: Solve for x
    x = 232,121,264,194.62/512,230.20
  6. Step 6: Final answer
    x = 453,158.10

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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.