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Finding the Fourth Proportional to 339,379.68, 509,070.74 and 114,742.11

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Solution

The fourth proportional to 339,379.68, 509,070.74 and 114,742.11 is: 172,113.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,379.68 : 509,070.74 = 114,742.11 : x
  2. Step 2: Convert to fraction form
    339,379.68/509,070.74 = 114,742.11/x
  3. Step 3: Cross multiply
    339,379.68x = 509,070.74 × 114,742.11
  4. Step 4: Simplify right side
    339,379.68x = 58,411,850,273.15
  5. Step 5: Solve for x
    x = 58,411,850,273.15/339,379.68
  6. Step 6: Final answer
    x = 172,113.58

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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.