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Finding the Fourth Proportional to 385,112.62, 577,805.81 and 171,861.15

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Solution

The fourth proportional to 385,112.62, 577,805.81 and 171,861.15 is: 257,852.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,112.62 : 577,805.81 = 171,861.15 : x
  2. Step 2: Convert to fraction form
    385,112.62/577,805.81 = 171,861.15/x
  3. Step 3: Cross multiply
    385,112.62x = 577,805.81 × 171,861.15
  4. Step 4: Simplify right side
    385,112.62x = 99,302,370,983.28
  5. Step 5: Solve for x
    x = 99,302,370,983.28/385,112.62
  6. Step 6: Final answer
    x = 257,852.81

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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.