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Finding the Fourth Proportional to 260,014.60, 390,021.90 and 181,217.80

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Solution

The fourth proportional to 260,014.60, 390,021.90 and 181,217.80 is: 271,826.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,014.60 : 390,021.90 = 181,217.80 : x
  2. Step 2: Convert to fraction form
    260,014.60/390,021.90 = 181,217.80/x
  3. Step 3: Cross multiply
    260,014.60x = 390,021.90 × 181,217.80
  4. Step 4: Simplify right side
    260,014.60x = 70,678,910,669.82
  5. Step 5: Solve for x
    x = 70,678,910,669.82/260,014.60
  6. Step 6: Final answer
    x = 271,826.70

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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.