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Finding the Fourth Proportional to 684,061.70, 944,185.93 and 393,709

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Solution

The fourth proportional to 684,061.70, 944,185.93 and 393,709 is: 543,422.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,061.70 : 944,185.93 = 393,709 : x
  2. Step 2: Convert to fraction form
    684,061.70/944,185.93 = 393,709/x
  3. Step 3: Cross multiply
    684,061.70x = 944,185.93 × 393,709
  4. Step 4: Simplify right side
    684,061.70x = 371,734,498,314.37
  5. Step 5: Solve for x
    x = 371,734,498,314.37/684,061.70
  6. Step 6: Final answer
    x = 543,422.47

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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.