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Finding the Fourth Proportional to 329,564.34, 494,321.40 and 104,931.90

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Solution

The fourth proportional to 329,564.34, 494,321.40 and 104,931.90 is: 157,389.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,564.34 : 494,321.40 = 104,931.90 : x
  2. Step 2: Convert to fraction form
    329,564.34/494,321.40 = 104,931.90/x
  3. Step 3: Cross multiply
    329,564.34x = 494,321.40 × 104,931.90
  4. Step 4: Simplify right side
    329,564.34x = 51,870,083,712.66
  5. Step 5: Solve for x
    x = 51,870,083,712.66/329,564.34
  6. Step 6: Final answer
    x = 157,389.86

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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.