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Finding the Fourth Proportional to 255,693.78, 383,479.14 and 78,202.32

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Solution

The fourth proportional to 255,693.78, 383,479.14 and 78,202.32 is: 117,284.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,693.78 : 383,479.14 = 78,202.32 : x
  2. Step 2: Convert to fraction form
    255,693.78/383,479.14 = 78,202.32/x
  3. Step 3: Cross multiply
    255,693.78x = 383,479.14 × 78,202.32
  4. Step 4: Simplify right side
    255,693.78x = 29,988,958,419.60
  5. Step 5: Solve for x
    x = 29,988,958,419.60/255,693.78
  6. Step 6: Final answer
    x = 117,284.66

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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.