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Finding the Fourth Proportional to 507,980.80, 701,014.49 and 281,626.30

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Solution

The fourth proportional to 507,980.80, 701,014.49 and 281,626.30 is: 388,644.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,980.80 : 701,014.49 = 281,626.30 : x
  2. Step 2: Convert to fraction form
    507,980.80/701,014.49 = 281,626.30/x
  3. Step 3: Cross multiply
    507,980.80x = 701,014.49 × 281,626.30
  4. Step 4: Simplify right side
    507,980.80x = 197,424,117,065.09
  5. Step 5: Solve for x
    x = 197,424,117,065.09/507,980.80
  6. Step 6: Final answer
    x = 388,644.84

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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.