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Finding the Fourth Proportional to 385,743.21, 578,334.55 and 161,167.87

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Solution

The fourth proportional to 385,743.21, 578,334.55 and 161,167.87 is: 241,634.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,743.21 : 578,334.55 = 161,167.87 : x
  2. Step 2: Convert to fraction form
    385,743.21/578,334.55 = 161,167.87/x
  3. Step 3: Cross multiply
    385,743.21x = 578,334.55 × 161,167.87
  4. Step 4: Simplify right side
    385,743.21x = 93,208,947,570.91
  5. Step 5: Solve for x
    x = 93,208,947,570.91/385,743.21
  6. Step 6: Final answer
    x = 241,634.71

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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.