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Finding the Fourth Proportional to 502,369.78, 753,579.29 and 202,813

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Solution

The fourth proportional to 502,369.78, 753,579.29 and 202,813 is: 304,229.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,369.78 : 753,579.29 = 202,813 : x
  2. Step 2: Convert to fraction form
    502,369.78/753,579.29 = 202,813/x
  3. Step 3: Cross multiply
    502,369.78x = 753,579.29 × 202,813
  4. Step 4: Simplify right side
    502,369.78x = 152,835,676,542.77
  5. Step 5: Solve for x
    x = 152,835,676,542.77/502,369.78
  6. Step 6: Final answer
    x = 304,229.44

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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.