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Finding the Fourth Proportional to 511,132.85, 705,368.15 and 281,698.41

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Solution

The fourth proportional to 511,132.85, 705,368.15 and 281,698.41 is: 388,746.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,132.85 : 705,368.15 = 281,698.41 : x
  2. Step 2: Convert to fraction form
    511,132.85/705,368.15 = 281,698.41/x
  3. Step 3: Cross multiply
    511,132.85x = 705,368.15 × 281,698.41
  4. Step 4: Simplify right side
    511,132.85x = 198,701,086,319.64
  5. Step 5: Solve for x
    x = 198,701,086,319.64/511,132.85
  6. Step 6: Final answer
    x = 388,746.46

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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.