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Finding the Fourth Proportional to 339,963.47, 509,715.16 and 190,307.06

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Solution

The fourth proportional to 339,963.47, 509,715.16 and 190,307.06 is: 285,331.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,963.47 : 509,715.16 = 190,307.06 : x
  2. Step 2: Convert to fraction form
    339,963.47/509,715.16 = 190,307.06/x
  3. Step 3: Cross multiply
    339,963.47x = 509,715.16 × 190,307.06
  4. Step 4: Simplify right side
    339,963.47x = 97,002,393,537.03
  5. Step 5: Solve for x
    x = 97,002,393,537.03/339,963.47
  6. Step 6: Final answer
    x = 285,331.81

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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.