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Finding the Fourth Proportional to 490,712.31, 734,696.01 and 265,263.75

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Solution

The fourth proportional to 490,712.31, 734,696.01 and 265,263.75 is: 397,153.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,712.31 : 734,696.01 = 265,263.75 : x
  2. Step 2: Convert to fraction form
    490,712.31/734,696.01 = 265,263.75/x
  3. Step 3: Cross multiply
    490,712.31x = 734,696.01 × 265,263.75
  4. Step 4: Simplify right side
    490,712.31x = 194,888,218,722.64
  5. Step 5: Solve for x
    x = 194,888,218,722.64/490,712.31
  6. Step 6: Final answer
    x = 397,153.72

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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.