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Finding the Fourth Proportional to 329,919.64, 455,170.24 and 186,678.16

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Solution

The fourth proportional to 329,919.64, 455,170.24 and 186,678.16 is: 257,548.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,919.64 : 455,170.24 = 186,678.16 : x
  2. Step 2: Convert to fraction form
    329,919.64/455,170.24 = 186,678.16/x
  3. Step 3: Cross multiply
    329,919.64x = 455,170.24 × 186,678.16
  4. Step 4: Simplify right side
    329,919.64x = 84,970,342,889.96
  5. Step 5: Solve for x
    x = 84,970,342,889.96/329,919.64
  6. Step 6: Final answer
    x = 257,548.60

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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.