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Finding the Fourth Proportional to 447,505.54, 671,098.47 and 147,930.82

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Solution

The fourth proportional to 447,505.54, 671,098.47 and 147,930.82 is: 221,843.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,505.54 : 671,098.47 = 147,930.82 : x
  2. Step 2: Convert to fraction form
    447,505.54/671,098.47 = 147,930.82/x
  3. Step 3: Cross multiply
    447,505.54x = 671,098.47 × 147,930.82
  4. Step 4: Simplify right side
    447,505.54x = 99,276,146,967.85
  5. Step 5: Solve for x
    x = 99,276,146,967.85/447,505.54
  6. Step 6: Final answer
    x = 221,843.39

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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.