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Finding the Fourth Proportional to 455,478.21, 682,848.09 and 189,437.90

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Solution

The fourth proportional to 455,478.21, 682,848.09 and 189,437.90 is: 284,003.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,478.21 : 682,848.09 = 189,437.90 : x
  2. Step 2: Convert to fraction form
    455,478.21/682,848.09 = 189,437.90/x
  3. Step 3: Cross multiply
    455,478.21x = 682,848.09 × 189,437.90
  4. Step 4: Simplify right side
    455,478.21x = 129,357,304,774.37
  5. Step 5: Solve for x
    x = 129,357,304,774.37/455,478.21
  6. Step 6: Final answer
    x = 284,003.28

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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.