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Finding the Fourth Proportional to 306,301.71, 459,152.60 and 171,431.64

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Solution

The fourth proportional to 306,301.71, 459,152.60 and 171,431.64 is: 256,979.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,301.71 : 459,152.60 = 171,431.64 : x
  2. Step 2: Convert to fraction form
    306,301.71/459,152.60 = 171,431.64/x
  3. Step 3: Cross multiply
    306,301.71x = 459,152.60 × 171,431.64
  4. Step 4: Simplify right side
    306,301.71x = 78,713,283,228.26
  5. Step 5: Solve for x
    x = 78,713,283,228.26/306,301.71
  6. Step 6: Final answer
    x = 256,979.57

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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.