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Finding the Fourth Proportional to 260,524.57, 390,582.71 and 102,871.03

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Solution

The fourth proportional to 260,524.57, 390,582.71 and 102,871.03 is: 154,225.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,524.57 : 390,582.71 = 102,871.03 : x
  2. Step 2: Convert to fraction form
    260,524.57/390,582.71 = 102,871.03/x
  3. Step 3: Cross multiply
    260,524.57x = 390,582.71 × 102,871.03
  4. Step 4: Simplify right side
    260,524.57x = 40,179,645,677.89
  5. Step 5: Solve for x
    x = 40,179,645,677.89/260,524.57
  6. Step 6: Final answer
    x = 154,225.94

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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.