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Finding the Fourth Proportional to 255,714.54, 383,571.82 and 78,220.06

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Solution

The fourth proportional to 255,714.54, 383,571.82 and 78,220.06 is: 117,330.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,714.54 : 383,571.82 = 78,220.06 : x
  2. Step 2: Convert to fraction form
    255,714.54/383,571.82 = 78,220.06/x
  3. Step 3: Cross multiply
    255,714.54x = 383,571.82 × 78,220.06
  4. Step 4: Simplify right side
    255,714.54x = 30,003,010,774.71
  5. Step 5: Solve for x
    x = 30,003,010,774.71/255,714.54
  6. Step 6: Final answer
    x = 117,330.09

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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.