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Finding the Fourth Proportional to 260,658.18, 390,722.40 and 102,669.30

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Solution

The fourth proportional to 260,658.18, 390,722.40 and 102,669.30 is: 153,899.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,658.18 : 390,722.40 = 102,669.30 : x
  2. Step 2: Convert to fraction form
    260,658.18/390,722.40 = 102,669.30/x
  3. Step 3: Cross multiply
    260,658.18x = 390,722.40 × 102,669.30
  4. Step 4: Simplify right side
    260,658.18x = 40,115,195,302.32
  5. Step 5: Solve for x
    x = 40,115,195,302.32/260,658.18
  6. Step 6: Final answer
    x = 153,899.62

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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.