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Finding the Fourth Proportional to 511,033.86, 705,257.70 and 281,590.87

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Solution

The fourth proportional to 511,033.86, 705,257.70 and 281,590.87 is: 388,612.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,033.86 : 705,257.70 = 281,590.87 : x
  2. Step 2: Convert to fraction form
    511,033.86/705,257.70 = 281,590.87/x
  3. Step 3: Cross multiply
    511,033.86x = 705,257.70 × 281,590.87
  4. Step 4: Simplify right side
    511,033.86x = 198,594,128,341.43
  5. Step 5: Solve for x
    x = 198,594,128,341.43/511,033.86
  6. Step 6: Final answer
    x = 388,612.46

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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.