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Finding the Fourth Proportional to 298,722.64, 447,030.96 and 186,455.56

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Solution

The fourth proportional to 298,722.64, 447,030.96 and 186,455.56 is: 279,026.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,722.64 : 447,030.96 = 186,455.56 : x
  2. Step 2: Convert to fraction form
    298,722.64/447,030.96 = 186,455.56/x
  3. Step 3: Cross multiply
    298,722.64x = 447,030.96 × 186,455.56
  4. Step 4: Simplify right side
    298,722.64x = 83,351,407,984.14
  5. Step 5: Solve for x
    x = 83,351,407,984.14/298,722.64
  6. Step 6: Final answer
    x = 279,026.08

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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.