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Finding the Fourth Proportional to 255,808.80, 383,979.34 and 188,416.94

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Solution

The fourth proportional to 255,808.80, 383,979.34 and 188,416.94 is: 282,821.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,808.80 : 383,979.34 = 188,416.94 : x
  2. Step 2: Convert to fraction form
    255,808.80/383,979.34 = 188,416.94/x
  3. Step 3: Cross multiply
    255,808.80x = 383,979.34 × 188,416.94
  4. Step 4: Simplify right side
    255,808.80x = 72,348,210,581.64
  5. Step 5: Solve for x
    x = 72,348,210,581.64/255,808.80
  6. Step 6: Final answer
    x = 282,821.43

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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.