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Finding the Fourth Proportional to 682,814.94, 942,143.92 and 392,370.40

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Solution

The fourth proportional to 682,814.94, 942,143.92 and 392,370.40 is: 541,390.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,814.94 : 942,143.92 = 392,370.40 : x
  2. Step 2: Convert to fraction form
    682,814.94/942,143.92 = 392,370.40/x
  3. Step 3: Cross multiply
    682,814.94x = 942,143.92 × 392,370.40
  4. Step 4: Simplify right side
    682,814.94x = 369,669,386,747.97
  5. Step 5: Solve for x
    x = 369,669,386,747.97/682,814.94
  6. Step 6: Final answer
    x = 541,390.30

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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.