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Finding the Fourth Proportional to 260,524.84, 390,524.70 and 102,692.20

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Solution

The fourth proportional to 260,524.84, 390,524.70 and 102,692.20 is: 153,934.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,524.84 : 390,524.70 = 102,692.20 : x
  2. Step 2: Convert to fraction form
    260,524.84/390,524.70 = 102,692.20/x
  3. Step 3: Cross multiply
    260,524.84x = 390,524.70 × 102,692.20
  4. Step 4: Simplify right side
    260,524.84x = 40,103,840,597.34
  5. Step 5: Solve for x
    x = 40,103,840,597.34/260,524.84
  6. Step 6: Final answer
    x = 153,934.81

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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.