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Finding the Fourth Proportional to 502,003.42, 752,838.09 and 202,406.62

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Solution

The fourth proportional to 502,003.42, 752,838.09 and 202,406.62 is: 303,542.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,003.42 : 752,838.09 = 202,406.62 : x
  2. Step 2: Convert to fraction form
    502,003.42/752,838.09 = 202,406.62/x
  3. Step 3: Cross multiply
    502,003.42x = 752,838.09 × 202,406.62
  4. Step 4: Simplify right side
    502,003.42x = 152,379,413,204.16
  5. Step 5: Solve for x
    x = 152,379,413,204.16/502,003.42
  6. Step 6: Final answer
    x = 303,542.58

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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.