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Finding the Fourth Proportional to 305,087.01, 420,993.60 and 174,264.06

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Solution

The fourth proportional to 305,087.01, 420,993.60 and 174,264.06 is: 240,469.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,087.01 : 420,993.60 = 174,264.06 : x
  2. Step 2: Convert to fraction form
    305,087.01/420,993.60 = 174,264.06/x
  3. Step 3: Cross multiply
    305,087.01x = 420,993.60 × 174,264.06
  4. Step 4: Simplify right side
    305,087.01x = 73,364,053,507.40
  5. Step 5: Solve for x
    x = 73,364,053,507.40/305,087.01
  6. Step 6: Final answer
    x = 240,469.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.