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Finding the Fourth Proportional to 293,538, 405,087.48 and 159,402

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Solution

The fourth proportional to 293,538, 405,087.48 and 159,402 is: 219,977.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,538 : 405,087.48 = 159,402 : x
  2. Step 2: Convert to fraction form
    293,538/405,087.48 = 159,402/x
  3. Step 3: Cross multiply
    293,538x = 405,087.48 × 159,402
  4. Step 4: Simplify right side
    293,538x = 64,571,754,486.96
  5. Step 5: Solve for x
    x = 64,571,754,486.96/293,538
  6. Step 6: Final answer
    x = 219,977.50

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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.