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Finding the Fourth Proportional to 257,099.16, 354,817.32 and 189,425.28

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Solution

The fourth proportional to 257,099.16, 354,817.32 and 189,425.28 is: 261,421.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,099.16 : 354,817.32 = 189,425.28 : x
  2. Step 2: Convert to fraction form
    257,099.16/354,817.32 = 189,425.28/x
  3. Step 3: Cross multiply
    257,099.16x = 354,817.32 × 189,425.28
  4. Step 4: Simplify right side
    257,099.16x = 67,211,370,189.85
  5. Step 5: Solve for x
    x = 67,211,370,189.85/257,099.16
  6. Step 6: Final answer
    x = 261,421.98

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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.