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Finding the Fourth Proportional to 455,438.28, 683,182.32 and 189,225.70

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Solution

The fourth proportional to 455,438.28, 683,182.32 and 189,225.70 is: 283,848.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,438.28 : 683,182.32 = 189,225.70 : x
  2. Step 2: Convert to fraction form
    455,438.28/683,182.32 = 189,225.70/x
  3. Step 3: Cross multiply
    455,438.28x = 683,182.32 × 189,225.70
  4. Step 4: Simplify right side
    455,438.28x = 129,275,652,729.62
  5. Step 5: Solve for x
    x = 129,275,652,729.62/455,438.28
  6. Step 6: Final answer
    x = 283,848.90

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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.