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Finding the Fourth Proportional to 475,074.96, 655,602.43 and 257,282.94

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Solution

The fourth proportional to 475,074.96, 655,602.43 and 257,282.94 is: 355,049.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,074.96 : 655,602.43 = 257,282.94 : x
  2. Step 2: Convert to fraction form
    475,074.96/655,602.43 = 257,282.94/x
  3. Step 3: Cross multiply
    475,074.96x = 655,602.43 × 257,282.94
  4. Step 4: Simplify right side
    475,074.96x = 168,675,320,661.54
  5. Step 5: Solve for x
    x = 168,675,320,661.54/475,074.96
  6. Step 6: Final answer
    x = 355,049.91

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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.