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Finding the Fourth Proportional to 502,665.81, 754,535.91 and 203,342.07

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Solution

The fourth proportional to 502,665.81, 754,535.91 and 203,342.07 is: 305,230.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,665.81 : 754,535.91 = 203,342.07 : x
  2. Step 2: Convert to fraction form
    502,665.81/754,535.91 = 203,342.07/x
  3. Step 3: Cross multiply
    502,665.81x = 754,535.91 × 203,342.07
  4. Step 4: Simplify right side
    502,665.81x = 153,428,893,828.73
  5. Step 5: Solve for x
    x = 153,428,893,828.73/502,665.81
  6. Step 6: Final answer
    x = 305,230.42

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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.