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Finding the Fourth Proportional to 522,836, 784,254 and 128,852

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Solution

The fourth proportional to 522,836, 784,254 and 128,852 is: 193,278

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,836 : 784,254 = 128,852 : x
  2. Step 2: Convert to fraction form
    522,836/784,254 = 128,852/x
  3. Step 3: Cross multiply
    522,836x = 784,254 × 128,852
  4. Step 4: Simplify right side
    522,836x = 101,052,696,408
  5. Step 5: Solve for x
    x = 101,052,696,408/522,836
  6. Step 6: Final answer
    x = 193,278

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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.