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Finding the Fourth Proportional to 502,368.78, 753,577.79 and 202,812

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Solution

The fourth proportional to 502,368.78, 753,577.79 and 202,812 is: 304,227.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,368.78 : 753,577.79 = 202,812 : x
  2. Step 2: Convert to fraction form
    502,368.78/753,577.79 = 202,812/x
  3. Step 3: Cross multiply
    502,368.78x = 753,577.79 × 202,812
  4. Step 4: Simplify right side
    502,368.78x = 152,834,618,745.48
  5. Step 5: Solve for x
    x = 152,834,618,745.48/502,368.78
  6. Step 6: Final answer
    x = 304,227.94

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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.