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Finding the Fourth Proportional to 387,115.20, 580,960.80 and 200,030.40

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Solution

The fourth proportional to 387,115.20, 580,960.80 and 200,030.40 is: 300,194.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,115.20 : 580,960.80 = 200,030.40 : x
  2. Step 2: Convert to fraction form
    387,115.20/580,960.80 = 200,030.40/x
  3. Step 3: Cross multiply
    387,115.20x = 580,960.80 × 200,030.40
  4. Step 4: Simplify right side
    387,115.20x = 116,209,821,208.32
  5. Step 5: Solve for x
    x = 116,209,821,208.32/387,115.20
  6. Step 6: Final answer
    x = 300,194.42

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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.