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Finding the Fourth Proportional to 298,739.64, 447,056.40 and 186,472.56

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Solution

The fourth proportional to 298,739.64, 447,056.40 and 186,472.56 is: 279,051.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,739.64 : 447,056.40 = 186,472.56 : x
  2. Step 2: Convert to fraction form
    298,739.64/447,056.40 = 186,472.56/x
  3. Step 3: Cross multiply
    298,739.64x = 447,056.40 × 186,472.56
  4. Step 4: Simplify right side
    298,739.64x = 83,363,751,372.38
  5. Step 5: Solve for x
    x = 83,363,751,372.38/298,739.64
  6. Step 6: Final answer
    x = 279,051.52

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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.