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Finding the Fourth Proportional to 428,907, 643,360.52 and 293,837.88

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Solution

The fourth proportional to 428,907, 643,360.52 and 293,837.88 is: 440,756.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,907 : 643,360.52 = 293,837.88 : x
  2. Step 2: Convert to fraction form
    428,907/643,360.52 = 293,837.88/x
  3. Step 3: Cross multiply
    428,907x = 643,360.52 × 293,837.88
  4. Step 4: Simplify right side
    428,907x = 189,043,691,272.50
  5. Step 5: Solve for x
    x = 189,043,691,272.50/428,907
  6. Step 6: Final answer
    x = 440,756.83

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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.