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Finding the Fourth Proportional to 286,174.85, 429,271.41 and 143,942.45

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Solution

The fourth proportional to 286,174.85, 429,271.41 and 143,942.45 is: 215,918.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,174.85 : 429,271.41 = 143,942.45 : x
  2. Step 2: Convert to fraction form
    286,174.85/429,271.41 = 143,942.45/x
  3. Step 3: Cross multiply
    286,174.85x = 429,271.41 × 143,942.45
  4. Step 4: Simplify right side
    286,174.85x = 61,790,376,324.00
  5. Step 5: Solve for x
    x = 61,790,376,324.00/286,174.85
  6. Step 6: Final answer
    x = 215,918.27

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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.