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Finding the Fourth Proportional to 465,838.52, 642,880.26 and 284,521.10

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Solution

The fourth proportional to 465,838.52, 642,880.26 and 284,521.10 is: 392,653.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,838.52 : 642,880.26 = 284,521.10 : x
  2. Step 2: Convert to fraction form
    465,838.52/642,880.26 = 284,521.10/x
  3. Step 3: Cross multiply
    465,838.52x = 642,880.26 × 284,521.10
  4. Step 4: Simplify right side
    465,838.52x = 182,912,995,529.09
  5. Step 5: Solve for x
    x = 182,912,995,529.09/465,838.52
  6. Step 6: Final answer
    x = 392,653.23

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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.