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Finding the Fourth Proportional to 428,937.92, 642,988.51 and 204,237.98

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Solution

The fourth proportional to 428,937.92, 642,988.51 and 204,237.98 is: 306,157.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,937.92 : 642,988.51 = 204,237.98 : x
  2. Step 2: Convert to fraction form
    428,937.92/642,988.51 = 204,237.98/x
  3. Step 3: Cross multiply
    428,937.92x = 642,988.51 × 204,237.98
  4. Step 4: Simplify right side
    428,937.92x = 131,322,670,720.07
  5. Step 5: Solve for x
    x = 131,322,670,720.07/428,937.92
  6. Step 6: Final answer
    x = 306,157.76

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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.