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Finding the Fourth Proportional to 339,429.26, 509,143.88 and 86,710.31

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Solution

The fourth proportional to 339,429.26, 509,143.88 and 86,710.31 is: 130,065.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,429.26 : 509,143.88 = 86,710.31 : x
  2. Step 2: Convert to fraction form
    339,429.26/509,143.88 = 86,710.31/x
  3. Step 3: Cross multiply
    339,429.26x = 509,143.88 × 86,710.31
  4. Step 4: Simplify right side
    339,429.26x = 44,148,020,690.13
  5. Step 5: Solve for x
    x = 44,148,020,690.13/339,429.26
  6. Step 6: Final answer
    x = 130,065.46

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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.