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Finding the Fourth Proportional to 341,709.20, 512,709.60 and 164,124.80

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Solution

The fourth proportional to 341,709.20, 512,709.60 and 164,124.80 is: 246,257.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,709.20 : 512,709.60 = 164,124.80 : x
  2. Step 2: Convert to fraction form
    341,709.20/512,709.60 = 164,124.80/x
  3. Step 3: Cross multiply
    341,709.20x = 512,709.60 × 164,124.80
  4. Step 4: Simplify right side
    341,709.20x = 84,148,360,558.08
  5. Step 5: Solve for x
    x = 84,148,360,558.08/341,709.20
  6. Step 6: Final answer
    x = 246,257.23

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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.