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Finding the Fourth Proportional to 260,595.45, 390,897.29 and 102,822.54

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Solution

The fourth proportional to 260,595.45, 390,897.29 and 102,822.54 is: 154,235.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,595.45 : 390,897.29 = 102,822.54 : x
  2. Step 2: Convert to fraction form
    260,595.45/390,897.29 = 102,822.54/x
  3. Step 3: Cross multiply
    260,595.45x = 390,897.29 × 102,822.54
  4. Step 4: Simplify right side
    260,595.45x = 40,193,052,236.92
  5. Step 5: Solve for x
    x = 40,193,052,236.92/260,595.45
  6. Step 6: Final answer
    x = 154,235.43

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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.