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Finding the Fourth Proportional to 260,488.49, 390,469.21 and 102,827.93

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Solution

The fourth proportional to 260,488.49, 390,469.21 and 102,827.93 is: 154,137.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,488.49 : 390,469.21 = 102,827.93 : x
  2. Step 2: Convert to fraction form
    260,488.49/390,469.21 = 102,827.93/x
  3. Step 3: Cross multiply
    260,488.49x = 390,469.21 × 102,827.93
  4. Step 4: Simplify right side
    260,488.49x = 40,151,138,383.62
  5. Step 5: Solve for x
    x = 40,151,138,383.62/260,488.49
  6. Step 6: Final answer
    x = 154,137.86

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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.