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Finding the Fourth Proportional to 339,849.74, 509,741.71 and 103,194.47

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Solution

The fourth proportional to 339,849.74, 509,741.71 and 103,194.47 is: 154,781.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,849.74 : 509,741.71 = 103,194.47 : x
  2. Step 2: Convert to fraction form
    339,849.74/509,741.71 = 103,194.47/x
  3. Step 3: Cross multiply
    339,849.74x = 509,741.71 × 103,194.47
  4. Step 4: Simplify right side
    339,849.74x = 52,602,526,616.71
  5. Step 5: Solve for x
    x = 52,602,526,616.71/339,849.74
  6. Step 6: Final answer
    x = 154,781.72

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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.