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Finding the Fourth Proportional to 293,018.88, 438,329.31 and 221,409.21

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Solution

The fourth proportional to 293,018.88, 438,329.31 and 221,409.21 is: 331,207.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,018.88 : 438,329.31 = 221,409.21 : x
  2. Step 2: Convert to fraction form
    293,018.88/438,329.31 = 221,409.21/x
  3. Step 3: Cross multiply
    293,018.88x = 438,329.31 × 221,409.21
  4. Step 4: Simplify right side
    293,018.88x = 97,050,147,060.40
  5. Step 5: Solve for x
    x = 97,050,147,060.40/293,018.88
  6. Step 6: Final answer
    x = 331,207.82

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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.