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Finding the Fourth Proportional to 515,916.48, 711,950.52 and 309,301.68

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Solution

The fourth proportional to 515,916.48, 711,950.52 and 309,301.68 is: 426,827.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,916.48 : 711,950.52 = 309,301.68 : x
  2. Step 2: Convert to fraction form
    515,916.48/711,950.52 = 309,301.68/x
  3. Step 3: Cross multiply
    515,916.48x = 711,950.52 × 309,301.68
  4. Step 4: Simplify right side
    515,916.48x = 220,207,491,912.87
  5. Step 5: Solve for x
    x = 220,207,491,912.87/515,916.48
  6. Step 6: Final answer
    x = 426,827.79

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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.