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Finding the Fourth Proportional to 402,014.80, 603,022.20 and 339,029.20

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Solution

The fourth proportional to 402,014.80, 603,022.20 and 339,029.20 is: 508,543.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,014.80 : 603,022.20 = 339,029.20 : x
  2. Step 2: Convert to fraction form
    402,014.80/603,022.20 = 339,029.20/x
  3. Step 3: Cross multiply
    402,014.80x = 603,022.20 × 339,029.20
  4. Step 4: Simplify right side
    402,014.80x = 204,442,134,048.24
  5. Step 5: Solve for x
    x = 204,442,134,048.24/402,014.80
  6. Step 6: Final answer
    x = 508,543.80

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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.