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Finding the Fourth Proportional to 255,729.60, 383,609.75 and 78,238.15

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Solution

The fourth proportional to 255,729.60, 383,609.75 and 78,238.15 is: 117,361.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,729.60 : 383,609.75 = 78,238.15 : x
  2. Step 2: Convert to fraction form
    255,729.60/383,609.75 = 78,238.15/x
  3. Step 3: Cross multiply
    255,729.60x = 383,609.75 × 78,238.15
  4. Step 4: Simplify right side
    255,729.60x = 30,012,916,398.53
  5. Step 5: Solve for x
    x = 30,012,916,398.53/255,729.60
  6. Step 6: Final answer
    x = 117,361.92

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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.