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Finding the Fourth Proportional to 497,505, 746,257.50 and 181,789.80

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Solution

The fourth proportional to 497,505, 746,257.50 and 181,789.80 is: 272,684.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,505 : 746,257.50 = 181,789.80 : x
  2. Step 2: Convert to fraction form
    497,505/746,257.50 = 181,789.80/x
  3. Step 3: Cross multiply
    497,505x = 746,257.50 × 181,789.80
  4. Step 4: Simplify right side
    497,505x = 135,662,001,673.50
  5. Step 5: Solve for x
    x = 135,662,001,673.50/497,505
  6. Step 6: Final answer
    x = 272,684.70

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1.5x scale

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.