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Finding the Fourth Proportional to 329,641.70, 494,298.98 and 104,972.85

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Solution

The fourth proportional to 329,641.70, 494,298.98 and 104,972.85 is: 157,407.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,641.70 : 494,298.98 = 104,972.85 : x
  2. Step 2: Convert to fraction form
    329,641.70/494,298.98 = 104,972.85/x
  3. Step 3: Cross multiply
    329,641.70x = 494,298.98 × 104,972.85
  4. Step 4: Simplify right side
    329,641.70x = 51,887,972,157.83
  5. Step 5: Solve for x
    x = 51,887,972,157.83/329,641.70
  6. Step 6: Final answer
    x = 157,407.19

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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.