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Finding the Fourth Proportional to 298,705.42, 447,711.44 and 120,991.42

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Solution

The fourth proportional to 298,705.42, 447,711.44 and 120,991.42 is: 181,346.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,705.42 : 447,711.44 = 120,991.42 : x
  2. Step 2: Convert to fraction form
    298,705.42/447,711.44 = 120,991.42/x
  3. Step 3: Cross multiply
    298,705.42x = 447,711.44 × 120,991.42
  4. Step 4: Simplify right side
    298,705.42x = 54,169,242,875.84
  5. Step 5: Solve for x
    x = 54,169,242,875.84/298,705.42
  6. Step 6: Final answer
    x = 181,346.70

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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.