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Finding the Fourth Proportional to 395,876.88, 593,840.70 and 139,678.02

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Solution

The fourth proportional to 395,876.88, 593,840.70 and 139,678.02 is: 209,525.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,876.88 : 593,840.70 = 139,678.02 : x
  2. Step 2: Convert to fraction form
    395,876.88/593,840.70 = 139,678.02/x
  3. Step 3: Cross multiply
    395,876.88x = 593,840.70 × 139,678.02
  4. Step 4: Simplify right side
    395,876.88x = 82,946,493,171.41
  5. Step 5: Solve for x
    x = 82,946,493,171.41/395,876.88
  6. Step 6: Final answer
    x = 209,525.98

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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.