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Finding the Fourth Proportional to 306,431.08, 459,858 and 106,753.12

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Solution

The fourth proportional to 306,431.08, 459,858 and 106,753.12 is: 160,203.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,431.08 : 459,858 = 106,753.12 : x
  2. Step 2: Convert to fraction form
    306,431.08/459,858 = 106,753.12/x
  3. Step 3: Cross multiply
    306,431.08x = 459,858 × 106,753.12
  4. Step 4: Simplify right side
    306,431.08x = 49,091,276,256.96
  5. Step 5: Solve for x
    x = 49,091,276,256.96/306,431.08
  6. Step 6: Final answer
    x = 160,203.32

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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.