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Finding the Fourth Proportional to 372,159.86, 513,714.21 and 221,256.50

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Solution

The fourth proportional to 372,159.86, 513,714.21 and 221,256.50 is: 305,413.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,159.86 : 513,714.21 = 221,256.50 : x
  2. Step 2: Convert to fraction form
    372,159.86/513,714.21 = 221,256.50/x
  3. Step 3: Cross multiply
    372,159.86x = 513,714.21 × 221,256.50
  4. Step 4: Simplify right side
    372,159.86x = 113,662,608,104.87
  5. Step 5: Solve for x
    x = 113,662,608,104.87/372,159.86
  6. Step 6: Final answer
    x = 305,413.40

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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.