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Finding the Fourth Proportional to 567,309.20, 782,876.58 and 309,188.48

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Solution

The fourth proportional to 567,309.20, 782,876.58 and 309,188.48 is: 426,674.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,309.20 : 782,876.58 = 309,188.48 : x
  2. Step 2: Convert to fraction form
    567,309.20/782,876.58 = 309,188.48/x
  3. Step 3: Cross multiply
    567,309.20x = 782,876.58 × 309,188.48
  4. Step 4: Simplify right side
    567,309.20x = 242,056,419,797.80
  5. Step 5: Solve for x
    x = 242,056,419,797.80/567,309.20
  6. Step 6: Final answer
    x = 426,674.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.