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Finding the Fourth Proportional to 522,861.60, 784,810.80 and 256,922.40

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Solution

The fourth proportional to 522,861.60, 784,810.80 and 256,922.40 is: 385,638.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,861.60 : 784,810.80 = 256,922.40 : x
  2. Step 2: Convert to fraction form
    522,861.60/784,810.80 = 256,922.40/x
  3. Step 3: Cross multiply
    522,861.60x = 784,810.80 × 256,922.40
  4. Step 4: Simplify right side
    522,861.60x = 201,635,474,281.92
  5. Step 5: Solve for x
    x = 201,635,474,281.92/522,861.60
  6. Step 6: Final answer
    x = 385,638.33

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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.