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Finding the Fourth Proportional to 363,989.56, 546,058.14 and 139,357.30

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Solution

The fourth proportional to 363,989.56, 546,058.14 and 139,357.30 is: 209,064.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,989.56 : 546,058.14 = 139,357.30 : x
  2. Step 2: Convert to fraction form
    363,989.56/546,058.14 = 139,357.30/x
  3. Step 3: Cross multiply
    363,989.56x = 546,058.14 × 139,357.30
  4. Step 4: Simplify right side
    363,989.56x = 76,097,188,033.42
  5. Step 5: Solve for x
    x = 76,097,188,033.42/363,989.56
  6. Step 6: Final answer
    x = 209,064.21

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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.