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Finding the Fourth Proportional to 298,645.88, 447,957.60 and 74,006.96

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Solution

The fourth proportional to 298,645.88, 447,957.60 and 74,006.96 is: 111,007.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,645.88 : 447,957.60 = 74,006.96 : x
  2. Step 2: Convert to fraction form
    298,645.88/447,957.60 = 74,006.96/x
  3. Step 3: Cross multiply
    298,645.88x = 447,957.60 × 74,006.96
  4. Step 4: Simplify right side
    298,645.88x = 33,151,980,184.90
  5. Step 5: Solve for x
    x = 33,151,980,184.90/298,645.88
  6. Step 6: Final answer
    x = 111,007.66

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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.