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Finding the Fourth Proportional to 631,137.62, 946,714.80 and 210,413.64

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Solution

The fourth proportional to 631,137.62, 946,714.80 and 210,413.64 is: 315,623.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,137.62 : 946,714.80 = 210,413.64 : x
  2. Step 2: Convert to fraction form
    631,137.62/946,714.80 = 210,413.64/x
  3. Step 3: Cross multiply
    631,137.62x = 946,714.80 × 210,413.64
  4. Step 4: Simplify right side
    631,137.62x = 199,201,707,109.87
  5. Step 5: Solve for x
    x = 199,201,707,109.87/631,137.62
  6. Step 6: Final answer
    x = 315,623.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.