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Finding the Fourth Proportional to 298,659.60, 447,983.64 and 74,020.50

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Solution

The fourth proportional to 298,659.60, 447,983.64 and 74,020.50 is: 111,029.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,659.60 : 447,983.64 = 74,020.50 : x
  2. Step 2: Convert to fraction form
    298,659.60/447,983.64 = 74,020.50/x
  3. Step 3: Cross multiply
    298,659.60x = 447,983.64 × 74,020.50
  4. Step 4: Simplify right side
    298,659.60x = 33,159,973,024.62
  5. Step 5: Solve for x
    x = 33,159,973,024.62/298,659.60
  6. Step 6: Final answer
    x = 111,029.32

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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.