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Finding the Fourth Proportional to 387,145.44, 580,884.48 and 200,288.16

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Solution

The fourth proportional to 387,145.44, 580,884.48 and 200,288.16 is: 300,518.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,145.44 : 580,884.48 = 200,288.16 : x
  2. Step 2: Convert to fraction form
    387,145.44/580,884.48 = 200,288.16/x
  3. Step 3: Cross multiply
    387,145.44x = 580,884.48 × 200,288.16
  4. Step 4: Simplify right side
    387,145.44x = 116,344,283,671.76
  5. Step 5: Solve for x
    x = 116,344,283,671.76/387,145.44
  6. Step 6: Final answer
    x = 300,518.28

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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.