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Finding the Fourth Proportional to 260,959.67, 390,775.02 and 171,943.31

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Solution

The fourth proportional to 260,959.67, 390,775.02 and 171,943.31 is: 257,477.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,959.67 : 390,775.02 = 171,943.31 : x
  2. Step 2: Convert to fraction form
    260,959.67/390,775.02 = 171,943.31/x
  3. Step 3: Cross multiply
    260,959.67x = 390,775.02 × 171,943.31
  4. Step 4: Simplify right side
    260,959.67x = 67,191,149,263.54
  5. Step 5: Solve for x
    x = 67,191,149,263.54/260,959.67
  6. Step 6: Final answer
    x = 257,477.13

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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.