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Finding the Fourth Proportional to 522,800.20, 784,459.74 and 207,250.12

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Solution

The fourth proportional to 522,800.20, 784,459.74 and 207,250.12 is: 310,978.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,800.20 : 784,459.74 = 207,250.12 : x
  2. Step 2: Convert to fraction form
    522,800.20/784,459.74 = 207,250.12/x
  3. Step 3: Cross multiply
    522,800.20x = 784,459.74 × 207,250.12
  4. Step 4: Simplify right side
    522,800.20x = 162,579,375,250.17
  5. Step 5: Solve for x
    x = 162,579,375,250.17/522,800.20
  6. Step 6: Final answer
    x = 310,978.03

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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.