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Finding the Fourth Proportional to 511,130.25, 705,364.57 and 281,695.82

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Solution

The fourth proportional to 511,130.25, 705,364.57 and 281,695.82 is: 388,742.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,130.25 : 705,364.57 = 281,695.82 : x
  2. Step 2: Convert to fraction form
    511,130.25/705,364.57 = 281,695.82/x
  3. Step 3: Cross multiply
    511,130.25x = 705,364.57 × 281,695.82
  4. Step 4: Simplify right side
    511,130.25x = 198,698,247,418.28
  5. Step 5: Solve for x
    x = 198,698,247,418.28/511,130.25
  6. Step 6: Final answer
    x = 388,742.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.