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Finding the Fourth Proportional to 522,865, 721,553.70 and 284,401

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Solution

The fourth proportional to 522,865, 721,553.70 and 284,401 is: 392,473.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,865 : 721,553.70 = 284,401 : x
  2. Step 2: Convert to fraction form
    522,865/721,553.70 = 284,401/x
  3. Step 3: Cross multiply
    522,865x = 721,553.70 × 284,401
  4. Step 4: Simplify right side
    522,865x = 205,210,593,833.70
  5. Step 5: Solve for x
    x = 205,210,593,833.70/522,865
  6. Step 6: Final answer
    x = 392,473.38

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1.5x scale

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.