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Finding the Fourth Proportional to 469,675.36, 704,644.08 and 189,388

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Solution

The fourth proportional to 469,675.36, 704,644.08 and 189,388 is: 284,134.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,675.36 : 704,644.08 = 189,388 : x
  2. Step 2: Convert to fraction form
    469,675.36/704,644.08 = 189,388/x
  3. Step 3: Cross multiply
    469,675.36x = 704,644.08 × 189,388
  4. Step 4: Simplify right side
    469,675.36x = 133,451,133,023.04
  5. Step 5: Solve for x
    x = 133,451,133,023.04/469,675.36
  6. Step 6: Final answer
    x = 284,134.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.