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Finding the Fourth Proportional to 339,647.93, 509,701.02 and 139,963.90

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Solution

The fourth proportional to 339,647.93, 509,701.02 and 139,963.90 is: 210,040.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,647.93 : 509,701.02 = 139,963.90 : x
  2. Step 2: Convert to fraction form
    339,647.93/509,701.02 = 139,963.90/x
  3. Step 3: Cross multiply
    339,647.93x = 509,701.02 × 139,963.90
  4. Step 4: Simplify right side
    339,647.93x = 71,339,742,832.28
  5. Step 5: Solve for x
    x = 71,339,742,832.28/339,647.93
  6. Step 6: Final answer
    x = 210,040.27

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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.