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Finding the Fourth Proportional to 306,085.60, 458,909.70 and 137,467.90

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Solution

The fourth proportional to 306,085.60, 458,909.70 and 137,467.90 is: 206,103.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,085.60 : 458,909.70 = 137,467.90 : x
  2. Step 2: Convert to fraction form
    306,085.60/458,909.70 = 137,467.90/x
  3. Step 3: Cross multiply
    306,085.60x = 458,909.70 × 137,467.90
  4. Step 4: Simplify right side
    306,085.60x = 63,085,352,748.63
  5. Step 5: Solve for x
    x = 63,085,352,748.63/306,085.60
  6. Step 6: Final answer
    x = 206,103.63

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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.