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Finding the Fourth Proportional to 260,795.00, 391,192.50 and 142,401.76

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Solution

The fourth proportional to 260,795.00, 391,192.50 and 142,401.76 is: 213,602.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,795.00 : 391,192.50 = 142,401.76 : x
  2. Step 2: Convert to fraction form
    260,795.00/391,192.50 = 142,401.76/x
  3. Step 3: Cross multiply
    260,795.00x = 391,192.50 × 142,401.76
  4. Step 4: Simplify right side
    260,795.00x = 55,706,500,054.83
  5. Step 5: Solve for x
    x = 55,706,500,054.83/260,795.00
  6. Step 6: Final answer
    x = 213,602.64

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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.