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Finding the Fourth Proportional to 306,208.64, 459,321.60 and 84,592.64

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Solution

The fourth proportional to 306,208.64, 459,321.60 and 84,592.64 is: 126,891.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,208.64 : 459,321.60 = 84,592.64 : x
  2. Step 2: Convert to fraction form
    306,208.64/459,321.60 = 84,592.64/x
  3. Step 3: Cross multiply
    306,208.64x = 459,321.60 × 84,592.64
  4. Step 4: Simplify right side
    306,208.64x = 38,855,226,753.02
  5. Step 5: Solve for x
    x = 38,855,226,753.02/306,208.64
  6. Step 6: Final answer
    x = 126,891.35

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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.