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Finding the Fourth Proportional to 387,777.60, 581,662.44 and 151,286.40

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Solution

The fourth proportional to 387,777.60, 581,662.44 and 151,286.40 is: 226,928.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,777.60 : 581,662.44 = 151,286.40 : x
  2. Step 2: Convert to fraction form
    387,777.60/581,662.44 = 151,286.40/x
  3. Step 3: Cross multiply
    387,777.60x = 581,662.44 × 151,286.40
  4. Step 4: Simplify right side
    387,777.60x = 87,997,616,562.82
  5. Step 5: Solve for x
    x = 87,997,616,562.82/387,777.60
  6. Step 6: Final answer
    x = 226,928.06

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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.