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Finding the Fourth Proportional to 387,093.20, 580,927.80 and 200,008.40

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Solution

The fourth proportional to 387,093.20, 580,927.80 and 200,008.40 is: 300,161.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,093.20 : 580,927.80 = 200,008.40 : x
  2. Step 2: Convert to fraction form
    387,093.20/580,927.80 = 200,008.40/x
  3. Step 3: Cross multiply
    387,093.20x = 580,927.80 × 200,008.40
  4. Step 4: Simplify right side
    387,093.20x = 116,190,439,793.52
  5. Step 5: Solve for x
    x = 116,190,439,793.52/387,093.20
  6. Step 6: Final answer
    x = 300,161.41

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1.5x scale

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.