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Finding the Fourth Proportional to 259,396.82, 357,906.66 and 157,420

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Solution

The fourth proportional to 259,396.82, 357,906.66 and 157,420 is: 217,202.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,396.82 : 357,906.66 = 157,420 : x
  2. Step 2: Convert to fraction form
    259,396.82/357,906.66 = 157,420/x
  3. Step 3: Cross multiply
    259,396.82x = 357,906.66 × 157,420
  4. Step 4: Simplify right side
    259,396.82x = 56,341,666,417.20
  5. Step 5: Solve for x
    x = 56,341,666,417.20/259,396.82
  6. Step 6: Final answer
    x = 217,202.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.