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Finding the Fourth Proportional to 306,304.56, 459,156.87 and 171,434.48

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Solution

The fourth proportional to 306,304.56, 459,156.87 and 171,434.48 is: 256,983.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,304.56 : 459,156.87 = 171,434.48 : x
  2. Step 2: Convert to fraction form
    306,304.56/459,156.87 = 171,434.48/x
  3. Step 3: Cross multiply
    306,304.56x = 459,156.87 × 171,434.48
  4. Step 4: Simplify right side
    306,304.56x = 78,715,319,246.88
  5. Step 5: Solve for x
    x = 78,715,319,246.88/306,304.56
  6. Step 6: Final answer
    x = 256,983.83

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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.