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Finding the Fourth Proportional to 387,687.60, 581,531.40 and 200,756.40

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Solution

The fourth proportional to 387,687.60, 581,531.40 and 200,756.40 is: 301,134.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,687.60 : 581,531.40 = 200,756.40 : x
  2. Step 2: Convert to fraction form
    387,687.60/581,531.40 = 200,756.40/x
  3. Step 3: Cross multiply
    387,687.60x = 581,531.40 × 200,756.40
  4. Step 4: Simplify right side
    387,687.60x = 116,746,150,350.96
  5. Step 5: Solve for x
    x = 116,746,150,350.96/387,687.60
  6. Step 6: Final answer
    x = 301,134.60

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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.