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Finding the Fourth Proportional to 257,856.48, 355,836.33 and 143,128.44

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Solution

The fourth proportional to 257,856.48, 355,836.33 and 143,128.44 is: 197,514.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,856.48 : 355,836.33 = 143,128.44 : x
  2. Step 2: Convert to fraction form
    257,856.48/355,836.33 = 143,128.44/x
  3. Step 3: Cross multiply
    257,856.48x = 355,836.33 × 143,128.44
  4. Step 4: Simplify right side
    257,856.48x = 50,930,298,808.23
  5. Step 5: Solve for x
    x = 50,930,298,808.23/257,856.48
  6. Step 6: Final answer
    x = 197,514.13

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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.