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Finding the Fourth Proportional to 259,395.82, 357,905.28 and 157,419

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Solution

The fourth proportional to 259,395.82, 357,905.28 and 157,419 is: 217,201.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,395.82 : 357,905.28 = 157,419 : x
  2. Step 2: Convert to fraction form
    259,395.82/357,905.28 = 157,419/x
  3. Step 3: Cross multiply
    259,395.82x = 357,905.28 × 157,419
  4. Step 4: Simplify right side
    259,395.82x = 56,341,091,272.32
  5. Step 5: Solve for x
    x = 56,341,091,272.32/259,395.82
  6. Step 6: Final answer
    x = 217,201.23

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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.