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Finding the Fourth Proportional to 257,568.64, 355,650.24 and 172,758.40

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Solution

The fourth proportional to 257,568.64, 355,650.24 and 172,758.40 is: 238,544.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,568.64 : 355,650.24 = 172,758.40 : x
  2. Step 2: Convert to fraction form
    257,568.64/355,650.24 = 172,758.40/x
  3. Step 3: Cross multiply
    257,568.64x = 355,650.24 × 172,758.40
  4. Step 4: Simplify right side
    257,568.64x = 61,441,566,422.02
  5. Step 5: Solve for x
    x = 61,441,566,422.02/257,568.64
  6. Step 6: Final answer
    x = 238,544.44

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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.