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Finding the Fourth Proportional to 257,333.48, 385,997.40 and 105,496.68

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Solution

The fourth proportional to 257,333.48, 385,997.40 and 105,496.68 is: 158,243.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,333.48 : 385,997.40 = 105,496.68 : x
  2. Step 2: Convert to fraction form
    257,333.48/385,997.40 = 105,496.68/x
  3. Step 3: Cross multiply
    257,333.48x = 385,997.40 × 105,496.68
  4. Step 4: Simplify right side
    257,333.48x = 40,721,444,188.63
  5. Step 5: Solve for x
    x = 40,721,444,188.63/257,333.48
  6. Step 6: Final answer
    x = 158,243.86

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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.