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Finding the Fourth Proportional to 428,071.36, 642,113.36 and 203,454.72

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Solution

The fourth proportional to 428,071.36, 642,113.36 and 203,454.72 is: 305,185.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,071.36 : 642,113.36 = 203,454.72 : x
  2. Step 2: Convert to fraction form
    428,071.36/642,113.36 = 203,454.72/x
  3. Step 3: Cross multiply
    428,071.36x = 642,113.36 × 203,454.72
  4. Step 4: Simplify right side
    428,071.36x = 130,640,993,867.06
  5. Step 5: Solve for x
    x = 130,640,993,867.06/428,071.36
  6. Step 6: Final answer
    x = 305,185.08

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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.