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Finding the Fourth Proportional to 384,143.15, 576,210.09 and 99,808.54

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Solution

The fourth proportional to 384,143.15, 576,210.09 and 99,808.54 is: 149,711.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,143.15 : 576,210.09 = 99,808.54 : x
  2. Step 2: Convert to fraction form
    384,143.15/576,210.09 = 99,808.54/x
  3. Step 3: Cross multiply
    384,143.15x = 576,210.09 × 99,808.54
  4. Step 4: Simplify right side
    384,143.15x = 57,510,687,816.17
  5. Step 5: Solve for x
    x = 57,510,687,816.17/384,143.15
  6. Step 6: Final answer
    x = 149,711.61

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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.