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Finding the Fourth Proportional to 255,809.16, 383,979.88 and 188,417.30

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Solution

The fourth proportional to 255,809.16, 383,979.88 and 188,417.30 is: 282,821.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,809.16 : 383,979.88 = 188,417.30 : x
  2. Step 2: Convert to fraction form
    255,809.16/383,979.88 = 188,417.30/x
  3. Step 3: Cross multiply
    255,809.16x = 383,979.88 × 188,417.30
  4. Step 4: Simplify right side
    255,809.16x = 72,348,451,374.53
  5. Step 5: Solve for x
    x = 72,348,451,374.53/255,809.16
  6. Step 6: Final answer
    x = 282,821.97

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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.