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Finding the Fourth Proportional to 255,725.97, 383,604.32 and 78,234.51

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Solution

The fourth proportional to 255,725.97, 383,604.32 and 78,234.51 is: 117,356.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,725.97 : 383,604.32 = 78,234.51 : x
  2. Step 2: Convert to fraction form
    255,725.97/383,604.32 = 78,234.51/x
  3. Step 3: Cross multiply
    255,725.97x = 383,604.32 × 78,234.51
  4. Step 4: Simplify right side
    255,725.97x = 30,011,096,009.08
  5. Step 5: Solve for x
    x = 30,011,096,009.08/255,725.97
  6. Step 6: Final answer
    x = 117,356.47

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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.