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Finding the Fourth Proportional to 385,150.90, 577,863.11 and 171,899.42

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Solution

The fourth proportional to 385,150.90, 577,863.11 and 171,899.42 is: 257,910.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,150.90 : 577,863.11 = 171,899.42 : x
  2. Step 2: Convert to fraction form
    385,150.90/577,863.11 = 171,899.42/x
  3. Step 3: Cross multiply
    385,150.90x = 577,863.11 × 171,899.42
  4. Step 4: Simplify right side
    385,150.90x = 99,334,330,988.83
  5. Step 5: Solve for x
    x = 99,334,330,988.83/385,150.90
  6. Step 6: Final answer
    x = 257,910.16

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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.