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Finding the Fourth Proportional to 511,129.85, 705,364.01 and 281,695.41

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Solution

The fourth proportional to 511,129.85, 705,364.01 and 281,695.41 is: 388,742.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,129.85 : 705,364.01 = 281,695.41 : x
  2. Step 2: Convert to fraction form
    511,129.85/705,364.01 = 281,695.41/x
  3. Step 3: Cross multiply
    511,129.85x = 705,364.01 × 281,695.41
  4. Step 4: Simplify right side
    511,129.85x = 198,697,803,644.08
  5. Step 5: Solve for x
    x = 198,697,803,644.08/511,129.85
  6. Step 6: Final answer
    x = 388,742.32

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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.