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Finding the Fourth Proportional to 281,313.78, 388,178.64 and 224,098.80

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Solution

The fourth proportional to 281,313.78, 388,178.64 and 224,098.80 is: 309,228.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,313.78 : 388,178.64 = 224,098.80 : x
  2. Step 2: Convert to fraction form
    281,313.78/388,178.64 = 224,098.80/x
  3. Step 3: Cross multiply
    281,313.78x = 388,178.64 × 224,098.80
  4. Step 4: Simplify right side
    281,313.78x = 86,990,367,409.63
  5. Step 5: Solve for x
    x = 86,990,367,409.63/281,313.78
  6. Step 6: Final answer
    x = 309,228.96

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1.5x scale

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.