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Finding the Fourth Proportional to 255,697.20, 383,221.80 and 97,714.80

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Solution

The fourth proportional to 255,697.20, 383,221.80 and 97,714.80 is: 146,448.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,697.20 : 383,221.80 = 97,714.80 : x
  2. Step 2: Convert to fraction form
    255,697.20/383,221.80 = 97,714.80/x
  3. Step 3: Cross multiply
    255,697.20x = 383,221.80 × 97,714.80
  4. Step 4: Simplify right side
    255,697.20x = 37,446,441,542.64
  5. Step 5: Solve for x
    x = 37,446,441,542.64/255,697.20
  6. Step 6: Final answer
    x = 146,448.38

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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.