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Finding the Fourth Proportional to 382,543.20, 573,814.80 and 340,552.80

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Solution

The fourth proportional to 382,543.20, 573,814.80 and 340,552.80 is: 510,829.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,543.20 : 573,814.80 = 340,552.80 : x
  2. Step 2: Convert to fraction form
    382,543.20/573,814.80 = 340,552.80/x
  3. Step 3: Cross multiply
    382,543.20x = 573,814.80 × 340,552.80
  4. Step 4: Simplify right side
    382,543.20x = 195,414,236,821.44
  5. Step 5: Solve for x
    x = 195,414,236,821.44/382,543.20
  6. Step 6: Final answer
    x = 510,829.20

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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.