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Finding the Fourth Proportional to 329,628.10, 494,278.40 and 104,959.20

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Solution

The fourth proportional to 329,628.10, 494,278.40 and 104,959.20 is: 157,386.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,628.10 : 494,278.40 = 104,959.20 : x
  2. Step 2: Convert to fraction form
    329,628.10/494,278.40 = 104,959.20/x
  3. Step 3: Cross multiply
    329,628.10x = 494,278.40 × 104,959.20
  4. Step 4: Simplify right side
    329,628.10x = 51,879,065,441.28
  5. Step 5: Solve for x
    x = 51,879,065,441.28/329,628.10
  6. Step 6: Final answer
    x = 157,386.66

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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.