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Finding the Fourth Proportional to 512,686.20, 769,029.30 and 302,561.40

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Solution

The fourth proportional to 512,686.20, 769,029.30 and 302,561.40 is: 453,842.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,686.20 : 769,029.30 = 302,561.40 : x
  2. Step 2: Convert to fraction form
    512,686.20/769,029.30 = 302,561.40/x
  3. Step 3: Cross multiply
    512,686.20x = 769,029.30 × 302,561.40
  4. Step 4: Simplify right side
    512,686.20x = 232,678,581,649.02
  5. Step 5: Solve for x
    x = 232,678,581,649.02/512,686.20
  6. Step 6: Final answer
    x = 453,842.10

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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.