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Finding the Fourth Proportional to 260,818.73, 390,650.08 and 200,402.51

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Solution

The fourth proportional to 260,818.73, 390,650.08 and 200,402.51 is: 300,159.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,818.73 : 390,650.08 = 200,402.51 : x
  2. Step 2: Convert to fraction form
    260,818.73/390,650.08 = 200,402.51/x
  3. Step 3: Cross multiply
    260,818.73x = 390,650.08 × 200,402.51
  4. Step 4: Simplify right side
    260,818.73x = 78,287,257,790.83
  5. Step 5: Solve for x
    x = 78,287,257,790.83/260,818.73
  6. Step 6: Final answer
    x = 300,159.64

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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.