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Finding the Fourth Proportional to 339,611.42, 509,509.01 and 114,971.88

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Solution

The fourth proportional to 339,611.42, 509,509.01 and 114,971.88 is: 172,488.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,611.42 : 509,509.01 = 114,971.88 : x
  2. Step 2: Convert to fraction form
    339,611.42/509,509.01 = 114,971.88/x
  3. Step 3: Cross multiply
    339,611.42x = 509,509.01 × 114,971.88
  4. Step 4: Simplify right side
    339,611.42x = 58,579,210,954.73
  5. Step 5: Solve for x
    x = 58,579,210,954.73/339,611.42
  6. Step 6: Final answer
    x = 172,488.93

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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.