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Finding the Fourth Proportional to 413,610.28, 619,879.02 and 185,737.64

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Solution

The fourth proportional to 413,610.28, 619,879.02 and 185,737.64 is: 278,365.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,610.28 : 619,879.02 = 185,737.64 : x
  2. Step 2: Convert to fraction form
    413,610.28/619,879.02 = 185,737.64/x
  3. Step 3: Cross multiply
    413,610.28x = 619,879.02 × 185,737.64
  4. Step 4: Simplify right side
    413,610.28x = 115,134,866,473.61
  5. Step 5: Solve for x
    x = 115,134,866,473.61/413,610.28
  6. Step 6: Final answer
    x = 278,365.58

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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.