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Finding the Fourth Proportional to 255,634.40, 383,451.60 and 97,781.60

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Solution

The fourth proportional to 255,634.40, 383,451.60 and 97,781.60 is: 146,672.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,634.40 : 383,451.60 = 97,781.60 : x
  2. Step 2: Convert to fraction form
    255,634.40/383,451.60 = 97,781.60/x
  3. Step 3: Cross multiply
    255,634.40x = 383,451.60 × 97,781.60
  4. Step 4: Simplify right side
    255,634.40x = 37,494,510,970.56
  5. Step 5: Solve for x
    x = 37,494,510,970.56/255,634.40
  6. Step 6: Final answer
    x = 146,672.40

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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.