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Finding the Fourth Proportional to 315,808.20, 435,840.14 and 179,847.88

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Solution

The fourth proportional to 315,808.20, 435,840.14 and 179,847.88 is: 248,204.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,808.20 : 435,840.14 = 179,847.88 : x
  2. Step 2: Convert to fraction form
    315,808.20/435,840.14 = 179,847.88/x
  3. Step 3: Cross multiply
    315,808.20x = 435,840.14 × 179,847.88
  4. Step 4: Simplify right side
    315,808.20x = 78,384,924,557.92
  5. Step 5: Solve for x
    x = 78,384,924,557.92/315,808.20
  6. Step 6: Final answer
    x = 248,204.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.