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Finding the Fourth Proportional to 385,028.60, 577,538.10 and 174,519.80

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Solution

The fourth proportional to 385,028.60, 577,538.10 and 174,519.80 is: 261,777.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,028.60 : 577,538.10 = 174,519.80 : x
  2. Step 2: Convert to fraction form
    385,028.60/577,538.10 = 174,519.80/x
  3. Step 3: Cross multiply
    385,028.60x = 577,538.10 × 174,519.80
  4. Step 4: Simplify right side
    385,028.60x = 100,791,833,704.38
  5. Step 5: Solve for x
    x = 100,791,833,704.38/385,028.60
  6. Step 6: Final answer
    x = 261,777.52

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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.