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Finding the Fourth Proportional to 522,817, 784,225.50 and 128,833

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Solution

The fourth proportional to 522,817, 784,225.50 and 128,833 is: 193,249.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,817 : 784,225.50 = 128,833 : x
  2. Step 2: Convert to fraction form
    522,817/784,225.50 = 128,833/x
  3. Step 3: Cross multiply
    522,817x = 784,225.50 × 128,833
  4. Step 4: Simplify right side
    522,817x = 101,034,123,841.50
  5. Step 5: Solve for x
    x = 101,034,123,841.50/522,817
  6. Step 6: Final answer
    x = 193,249.50

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Similar ratio
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1.5x scale

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.