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Finding the Fourth Proportional to 515,875.50, 711,939.78 and 289,521

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Solution

The fourth proportional to 515,875.50, 711,939.78 and 289,521 is: 399,556.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,875.50 : 711,939.78 = 289,521 : x
  2. Step 2: Convert to fraction form
    515,875.50/711,939.78 = 289,521/x
  3. Step 3: Cross multiply
    515,875.50x = 711,939.78 × 289,521
  4. Step 4: Simplify right side
    515,875.50x = 206,121,517,045.38
  5. Step 5: Solve for x
    x = 206,121,517,045.38/515,875.50
  6. Step 6: Final answer
    x = 399,556.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.