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Finding the Fourth Proportional to 499,628.20, 749,223.60 and 200,009.20

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Solution

The fourth proportional to 499,628.20, 749,223.60 and 200,009.20 is: 299,926.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,628.20 : 749,223.60 = 200,009.20 : x
  2. Step 2: Convert to fraction form
    499,628.20/749,223.60 = 200,009.20/x
  3. Step 3: Cross multiply
    499,628.20x = 749,223.60 × 200,009.20
  4. Step 4: Simplify right side
    499,628.20x = 149,851,612,857.12
  5. Step 5: Solve for x
    x = 149,851,612,857.12/499,628.20
  6. Step 6: Final answer
    x = 299,926.25

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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.