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Finding the Fourth Proportional to 320,676.98, 442,515.74 and 177,428.48

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Solution

The fourth proportional to 320,676.98, 442,515.74 and 177,428.48 is: 244,841.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,676.98 : 442,515.74 = 177,428.48 : x
  2. Step 2: Convert to fraction form
    320,676.98/442,515.74 = 177,428.48/x
  3. Step 3: Cross multiply
    320,676.98x = 442,515.74 × 177,428.48
  4. Step 4: Simplify right side
    320,676.98x = 78,514,892,024.55
  5. Step 5: Solve for x
    x = 78,514,892,024.55/320,676.98
  6. Step 6: Final answer
    x = 244,841.06

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.