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Finding the Fourth Proportional to 339,814.71, 509,403.74 and 115,017.84

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Solution

The fourth proportional to 339,814.71, 509,403.74 and 115,017.84 is: 172,419.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,814.71 : 509,403.74 = 115,017.84 : x
  2. Step 2: Convert to fraction form
    339,814.71/509,403.74 = 115,017.84/x
  3. Step 3: Cross multiply
    339,814.71x = 509,403.74 × 115,017.84
  4. Step 4: Simplify right side
    339,814.71x = 58,590,517,287.63
  5. Step 5: Solve for x
    x = 58,590,517,287.63/339,814.71
  6. Step 6: Final answer
    x = 172,419.01

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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.