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Finding the Fourth Proportional to 255,809.72, 383,980.70 and 188,417.84

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Solution

The fourth proportional to 255,809.72, 383,980.70 and 188,417.84 is: 282,822.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,809.72 : 383,980.70 = 188,417.84 : x
  2. Step 2: Convert to fraction form
    255,809.72/383,980.70 = 188,417.84/x
  3. Step 3: Cross multiply
    255,809.72x = 383,980.70 × 188,417.84
  4. Step 4: Simplify right side
    255,809.72x = 72,348,813,606.78
  5. Step 5: Solve for x
    x = 72,348,813,606.78/255,809.72
  6. Step 6: Final answer
    x = 282,822.78

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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.