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Finding the Fourth Proportional to 499,836.60, 749,098.80 and 200,071.80

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Solution

The fourth proportional to 499,836.60, 749,098.80 and 200,071.80 is: 299,845.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,836.60 : 749,098.80 = 200,071.80 : x
  2. Step 2: Convert to fraction form
    499,836.60/749,098.80 = 200,071.80/x
  3. Step 3: Cross multiply
    499,836.60x = 749,098.80 × 200,071.80
  4. Step 4: Simplify right side
    499,836.60x = 149,873,545,293.84
  5. Step 5: Solve for x
    x = 149,873,545,293.84/499,836.60
  6. Step 6: Final answer
    x = 299,845.08

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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.