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Finding the Fourth Proportional to 284,893.84, 393,109.86 and 164,011.77

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Solution

The fourth proportional to 284,893.84, 393,109.86 and 164,011.77 is: 226,311.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,893.84 : 393,109.86 = 164,011.77 : x
  2. Step 2: Convert to fraction form
    284,893.84/393,109.86 = 164,011.77/x
  3. Step 3: Cross multiply
    284,893.84x = 393,109.86 × 164,011.77
  4. Step 4: Simplify right side
    284,893.84x = 64,474,643,943.05
  5. Step 5: Solve for x
    x = 64,474,643,943.05/284,893.84
  6. Step 6: Final answer
    x = 226,311.12

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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.