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Finding the Fourth Proportional to 260,946.74, 390,755.51 and 171,930.44

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Solution

The fourth proportional to 260,946.74, 390,755.51 and 171,930.44 is: 257,457.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,946.74 : 390,755.51 = 171,930.44 : x
  2. Step 2: Convert to fraction form
    260,946.74/390,755.51 = 171,930.44/x
  3. Step 3: Cross multiply
    260,946.74x = 390,755.51 × 171,930.44
  4. Step 4: Simplify right side
    260,946.74x = 67,182,766,883.96
  5. Step 5: Solve for x
    x = 67,182,766,883.96/260,946.74
  6. Step 6: Final answer
    x = 257,457.77

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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.