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Finding the Fourth Proportional to 385,153.28, 577,824.47 and 271,523.14

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Solution

The fourth proportional to 385,153.28, 577,824.47 and 271,523.14 is: 407,351.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,153.28 : 577,824.47 = 271,523.14 : x
  2. Step 2: Convert to fraction form
    385,153.28/577,824.47 = 271,523.14/x
  3. Step 3: Cross multiply
    385,153.28x = 577,824.47 × 271,523.14
  4. Step 4: Simplify right side
    385,153.28x = 156,892,712,679.27
  5. Step 5: Solve for x
    x = 156,892,712,679.27/385,153.28
  6. Step 6: Final answer
    x = 407,351.36

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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.