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Finding the Fourth Proportional to 260,286.30, 390,429.45 and 73,297.80

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Solution

The fourth proportional to 260,286.30, 390,429.45 and 73,297.80 is: 109,946.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,286.30 : 390,429.45 = 73,297.80 : x
  2. Step 2: Convert to fraction form
    260,286.30/390,429.45 = 73,297.80/x
  3. Step 3: Cross multiply
    260,286.30x = 390,429.45 × 73,297.80
  4. Step 4: Simplify right side
    260,286.30x = 28,617,619,740.21
  5. Step 5: Solve for x
    x = 28,617,619,740.21/260,286.30
  6. Step 6: Final answer
    x = 109,946.70

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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.