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Finding the Fourth Proportional to 289,811.80, 434,847.30 and 139,994.20

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Solution

The fourth proportional to 289,811.80, 434,847.30 and 139,994.20 is: 210,053.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,811.80 : 434,847.30 = 139,994.20 : x
  2. Step 2: Convert to fraction form
    289,811.80/434,847.30 = 139,994.20/x
  3. Step 3: Cross multiply
    289,811.80x = 434,847.30 × 139,994.20
  4. Step 4: Simplify right side
    289,811.80x = 60,876,099,885.66
  5. Step 5: Solve for x
    x = 60,876,099,885.66/289,811.80
  6. Step 6: Final answer
    x = 210,053.90

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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.