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Finding the Fourth Proportional to 395,640.36, 593,459.10 and 218,053.80

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Solution

The fourth proportional to 395,640.36, 593,459.10 and 218,053.80 is: 327,079.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,640.36 : 593,459.10 = 218,053.80 : x
  2. Step 2: Convert to fraction form
    395,640.36/593,459.10 = 218,053.80/x
  3. Step 3: Cross multiply
    395,640.36x = 593,459.10 × 218,053.80
  4. Step 4: Simplify right side
    395,640.36x = 129,406,011,899.58
  5. Step 5: Solve for x
    x = 129,406,011,899.58/395,640.36
  6. Step 6: Final answer
    x = 327,079.91

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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.