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Finding the Fourth Proportional to 298,665.60, 447,992.64 and 74,026.50

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Solution

The fourth proportional to 298,665.60, 447,992.64 and 74,026.50 is: 111,038.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,665.60 : 447,992.64 = 74,026.50 : x
  2. Step 2: Convert to fraction form
    298,665.60/447,992.64 = 74,026.50/x
  3. Step 3: Cross multiply
    298,665.60x = 447,992.64 × 74,026.50
  4. Step 4: Simplify right side
    298,665.60x = 33,163,327,164.96
  5. Step 5: Solve for x
    x = 33,163,327,164.96/298,665.60
  6. Step 6: Final answer
    x = 111,038.32

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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.