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Finding the Fourth Proportional to 260,407.89, 390,609.06 and 197,613.77

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Solution

The fourth proportional to 260,407.89, 390,609.06 and 197,613.77 is: 296,418.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,407.89 : 390,609.06 = 197,613.77 : x
  2. Step 2: Convert to fraction form
    260,407.89/390,609.06 = 197,613.77/x
  3. Step 3: Cross multiply
    260,407.89x = 390,609.06 × 197,613.77
  4. Step 4: Simplify right side
    260,407.89x = 77,189,726,989.71
  5. Step 5: Solve for x
    x = 77,189,726,989.71/260,407.89
  6. Step 6: Final answer
    x = 296,418.54

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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.