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Finding the Fourth Proportional to 520,453, 718,225.14 and 281,989

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Solution

The fourth proportional to 520,453, 718,225.14 and 281,989 is: 389,144.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,453 : 718,225.14 = 281,989 : x
  2. Step 2: Convert to fraction form
    520,453/718,225.14 = 281,989/x
  3. Step 3: Cross multiply
    520,453x = 718,225.14 × 281,989
  4. Step 4: Simplify right side
    520,453x = 202,531,589,003.46
  5. Step 5: Solve for x
    x = 202,531,589,003.46/520,453
  6. Step 6: Final answer
    x = 389,144.82

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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.