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Finding the Fourth Proportional to 255,570.78, 383,431.32 and 75,660.78

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Solution

The fourth proportional to 255,570.78, 383,431.32 and 75,660.78 is: 113,513.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,570.78 : 383,431.32 = 75,660.78 : x
  2. Step 2: Convert to fraction form
    255,570.78/383,431.32 = 75,660.78/x
  3. Step 3: Cross multiply
    255,570.78x = 383,431.32 × 75,660.78
  4. Step 4: Simplify right side
    255,570.78x = 29,010,712,747.63
  5. Step 5: Solve for x
    x = 29,010,712,747.63/255,570.78
  6. Step 6: Final answer
    x = 113,513.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.