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Finding the Fourth Proportional to 455,866.51, 683,256.25 and 212,380.96

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Solution

The fourth proportional to 455,866.51, 683,256.25 and 212,380.96 is: 318,318.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,866.51 : 683,256.25 = 212,380.96 : x
  2. Step 2: Convert to fraction form
    455,866.51/683,256.25 = 212,380.96/x
  3. Step 3: Cross multiply
    455,866.51x = 683,256.25 × 212,380.96
  4. Step 4: Simplify right side
    455,866.51x = 145,110,620,658.42
  5. Step 5: Solve for x
    x = 145,110,620,658.42/455,866.51
  6. Step 6: Final answer
    x = 318,318.23

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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.