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Finding the Fourth Proportional to 510,831.15, 704,896.52 and 284,497.71

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Solution

The fourth proportional to 510,831.15, 704,896.52 and 284,497.71 is: 392,578.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,831.15 : 704,896.52 = 284,497.71 : x
  2. Step 2: Convert to fraction form
    510,831.15/704,896.52 = 284,497.71/x
  3. Step 3: Cross multiply
    510,831.15x = 704,896.52 × 284,497.71
  4. Step 4: Simplify right side
    510,831.15x = 200,541,442,913.73
  5. Step 5: Solve for x
    x = 200,541,442,913.73/510,831.15
  6. Step 6: Final answer
    x = 392,578.73

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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.