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Finding the Fourth Proportional to 507,465.24, 700,344.72 and 281,131.80

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Solution

The fourth proportional to 507,465.24, 700,344.72 and 281,131.80 is: 387,985.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,465.24 : 700,344.72 = 281,131.80 : x
  2. Step 2: Convert to fraction form
    507,465.24/700,344.72 = 281,131.80/x
  3. Step 3: Cross multiply
    507,465.24x = 700,344.72 × 281,131.80
  4. Step 4: Simplify right side
    507,465.24x = 196,889,171,754.10
  5. Step 5: Solve for x
    x = 196,889,171,754.10/507,465.24
  6. Step 6: Final answer
    x = 387,985.53

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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.