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Finding the Fourth Proportional to 499,535, 749,105.26 and 199,959.74

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Solution

The fourth proportional to 499,535, 749,105.26 and 199,959.74 is: 299,860.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,535 : 749,105.26 = 199,959.74 : x
  2. Step 2: Convert to fraction form
    499,535/749,105.26 = 199,959.74/x
  3. Step 3: Cross multiply
    499,535x = 749,105.26 × 199,959.74
  4. Step 4: Simplify right side
    499,535x = 149,790,893,022.23
  5. Step 5: Solve for x
    x = 149,790,893,022.23/499,535
  6. Step 6: Final answer
    x = 299,860.66

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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.