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Finding the Fourth Proportional to 684,062.70, 944,187.31 and 393,710

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Solution

The fourth proportional to 684,062.70, 944,187.31 and 393,710 is: 543,423.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,062.70 : 944,187.31 = 393,710 : x
  2. Step 2: Convert to fraction form
    684,062.70/944,187.31 = 393,710/x
  3. Step 3: Cross multiply
    684,062.70x = 944,187.31 × 393,710
  4. Step 4: Simplify right side
    684,062.70x = 371,735,985,820.10
  5. Step 5: Solve for x
    x = 371,735,985,820.10/684,062.70
  6. Step 6: Final answer
    x = 543,423.85

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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.