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Finding the Fourth Proportional to 387,107.20, 580,948.80 and 200,022.40

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Solution

The fourth proportional to 387,107.20, 580,948.80 and 200,022.40 is: 300,182.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,107.20 : 580,948.80 = 200,022.40 : x
  2. Step 2: Convert to fraction form
    387,107.20/580,948.80 = 200,022.40/x
  3. Step 3: Cross multiply
    387,107.20x = 580,948.80 × 200,022.40
  4. Step 4: Simplify right side
    387,107.20x = 116,202,773,253.12
  5. Step 5: Solve for x
    x = 116,202,773,253.12/387,107.20
  6. Step 6: Final answer
    x = 300,182.41

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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.