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Finding the Fourth Proportional to 384,607.57, 576,911.77 and 100,297.87

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Solution

The fourth proportional to 384,607.57, 576,911.77 and 100,297.87 is: 150,446.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,607.57 : 576,911.77 = 100,297.87 : x
  2. Step 2: Convert to fraction form
    384,607.57/576,911.77 = 100,297.87/x
  3. Step 3: Cross multiply
    384,607.57x = 576,911.77 × 100,297.87
  4. Step 4: Simplify right side
    384,607.57x = 57,863,021,708.93
  5. Step 5: Solve for x
    x = 57,863,021,708.93/384,607.57
  6. Step 6: Final answer
    x = 150,446.91

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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.