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Finding the Fourth Proportional to 521,892.30, 781,509.50 and 343,859.56

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Solution

The fourth proportional to 521,892.30, 781,509.50 and 343,859.56 is: 514,913.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,892.30 : 781,509.50 = 343,859.56 : x
  2. Step 2: Convert to fraction form
    521,892.30/781,509.50 = 343,859.56/x
  3. Step 3: Cross multiply
    521,892.30x = 781,509.50 × 343,859.56
  4. Step 4: Simplify right side
    521,892.30x = 268,729,513,532.37
  5. Step 5: Solve for x
    x = 268,729,513,532.37/521,892.30
  6. Step 6: Final answer
    x = 514,913.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.