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Finding the Fourth Proportional to 388,085.20, 582,127.80 and 341,429.20

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Solution

The fourth proportional to 388,085.20, 582,127.80 and 341,429.20 is: 512,143.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,085.20 : 582,127.80 = 341,429.20 : x
  2. Step 2: Convert to fraction form
    388,085.20/582,127.80 = 341,429.20/x
  3. Step 3: Cross multiply
    388,085.20x = 582,127.80 × 341,429.20
  4. Step 4: Simplify right side
    388,085.20x = 198,755,429,051.76
  5. Step 5: Solve for x
    x = 198,755,429,051.76/388,085.20
  6. Step 6: Final answer
    x = 512,143.80

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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.