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Finding the Fourth Proportional to 385,768.63, 578,372.55 and 161,193.34

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Solution

The fourth proportional to 385,768.63, 578,372.55 and 161,193.34 is: 241,672.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,768.63 : 578,372.55 = 161,193.34 : x
  2. Step 2: Convert to fraction form
    385,768.63/578,372.55 = 161,193.34/x
  3. Step 3: Cross multiply
    385,768.63x = 578,372.55 × 161,193.34
  4. Step 4: Simplify right side
    385,768.63x = 93,229,803,098.82
  5. Step 5: Solve for x
    x = 93,229,803,098.82/385,768.63
  6. Step 6: Final answer
    x = 241,672.85

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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.