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Finding the Fourth Proportional to 428,064.89, 642,103.61 and 203,448.24

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Solution

The fourth proportional to 428,064.89, 642,103.61 and 203,448.24 is: 305,175.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,064.89 : 642,103.61 = 203,448.24 : x
  2. Step 2: Convert to fraction form
    428,064.89/642,103.61 = 203,448.24/x
  3. Step 3: Cross multiply
    428,064.89x = 642,103.61 × 203,448.24
  4. Step 4: Simplify right side
    428,064.89x = 130,634,848,334.91
  5. Step 5: Solve for x
    x = 130,634,848,334.91/428,064.89
  6. Step 6: Final answer
    x = 305,175.34

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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.