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Finding the Fourth Proportional to 385,014.76, 577,477.99 and 100,732.75

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Solution

The fourth proportional to 385,014.76, 577,477.99 and 100,732.75 is: 151,087.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,014.76 : 577,477.99 = 100,732.75 : x
  2. Step 2: Convert to fraction form
    385,014.76/577,477.99 = 100,732.75/x
  3. Step 3: Cross multiply
    385,014.76x = 577,477.99 × 100,732.75
  4. Step 4: Simplify right side
    385,014.76x = 58,170,945,997.17
  5. Step 5: Solve for x
    x = 58,170,945,997.17/385,014.76
  6. Step 6: Final answer
    x = 151,087.57

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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.