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Finding the Fourth Proportional to 499,644, 749,595.60 and 179,784.72

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Solution

The fourth proportional to 499,644, 749,595.60 and 179,784.72 is: 269,723.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,644 : 749,595.60 = 179,784.72 : x
  2. Step 2: Convert to fraction form
    499,644/749,595.60 = 179,784.72/x
  3. Step 3: Cross multiply
    499,644x = 749,595.60 × 179,784.72
  4. Step 4: Simplify right side
    499,644x = 134,765,835,059.23
  5. Step 5: Solve for x
    x = 134,765,835,059.23/499,644
  6. Step 6: Final answer
    x = 269,723.71

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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.