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Finding the Fourth Proportional to 368,142.64, 508,288.50 and 281,949.32

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Solution

The fourth proportional to 368,142.64, 508,288.50 and 281,949.32 is: 389,282.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,142.64 : 508,288.50 = 281,949.32 : x
  2. Step 2: Convert to fraction form
    368,142.64/508,288.50 = 281,949.32/x
  3. Step 3: Cross multiply
    368,142.64x = 508,288.50 × 281,949.32
  4. Step 4: Simplify right side
    368,142.64x = 143,311,598,209.54
  5. Step 5: Solve for x
    x = 143,311,598,209.54/368,142.64
  6. Step 6: Final answer
    x = 389,282.80

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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.