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Finding the Fourth Proportional to 492,946.91, 680,318.52 and 289,006.43

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Solution

The fourth proportional to 492,946.91, 680,318.52 and 289,006.43 is: 398,859.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,946.91 : 680,318.52 = 289,006.43 : x
  2. Step 2: Convert to fraction form
    492,946.91/680,318.52 = 289,006.43/x
  3. Step 3: Cross multiply
    492,946.91x = 680,318.52 × 289,006.43
  4. Step 4: Simplify right side
    492,946.91x = 196,616,426,882.34
  5. Step 5: Solve for x
    x = 196,616,426,882.34/492,946.91
  6. Step 6: Final answer
    x = 398,859.23

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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.