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Finding the Fourth Proportional to 257,038.84, 354,917.58 and 171,080.44

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Solution

The fourth proportional to 257,038.84, 354,917.58 and 171,080.44 is: 236,226.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,038.84 : 354,917.58 = 171,080.44 : x
  2. Step 2: Convert to fraction form
    257,038.84/354,917.58 = 171,080.44/x
  3. Step 3: Cross multiply
    257,038.84x = 354,917.58 × 171,080.44
  4. Step 4: Simplify right side
    257,038.84x = 60,719,455,750.14
  5. Step 5: Solve for x
    x = 60,719,455,750.14/257,038.84
  6. Step 6: Final answer
    x = 236,226.77

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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.