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Finding the Fourth Proportional to 411,609.60, 617,803.20 and 254,145.60

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Solution

The fourth proportional to 411,609.60, 617,803.20 and 254,145.60 is: 381,458.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,609.60 : 617,803.20 = 254,145.60 : x
  2. Step 2: Convert to fraction form
    411,609.60/617,803.20 = 254,145.60/x
  3. Step 3: Cross multiply
    411,609.60x = 617,803.20 × 254,145.60
  4. Step 4: Simplify right side
    411,609.60x = 157,011,964,945.92
  5. Step 5: Solve for x
    x = 157,011,964,945.92/411,609.60
  6. Step 6: Final answer
    x = 381,458.46

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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.