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Finding the Fourth Proportional to 255,313, 382,969.26 and 114,907.56

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Solution

The fourth proportional to 255,313, 382,969.26 and 114,907.56 is: 172,361.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,313 : 382,969.26 = 114,907.56 : x
  2. Step 2: Convert to fraction form
    255,313/382,969.26 = 114,907.56/x
  3. Step 3: Cross multiply
    255,313x = 382,969.26 × 114,907.56
  4. Step 4: Simplify right side
    255,313x = 44,006,063,221.61
  5. Step 5: Solve for x
    x = 44,006,063,221.61/255,313
  6. Step 6: Final answer
    x = 172,361.23

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1.5x scale

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.