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Finding the Fourth Proportional to 522,145.60, 782,343.60 and 446,912.80

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Solution

The fourth proportional to 522,145.60, 782,343.60 and 446,912.80 is: 669,620.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,145.60 : 782,343.60 = 446,912.80 : x
  2. Step 2: Convert to fraction form
    522,145.60/782,343.60 = 446,912.80/x
  3. Step 3: Cross multiply
    522,145.60x = 782,343.60 × 446,912.80
  4. Step 4: Simplify right side
    522,145.60x = 349,639,368,838.08
  5. Step 5: Solve for x
    x = 349,639,368,838.08/522,145.60
  6. Step 6: Final answer
    x = 669,620.44

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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.