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Finding the Fourth Proportional to 339,502.83, 509,252.27 and 86,782.98

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Solution

The fourth proportional to 339,502.83, 509,252.27 and 86,782.98 is: 130,173.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,502.83 : 509,252.27 = 86,782.98 : x
  2. Step 2: Convert to fraction form
    339,502.83/509,252.27 = 86,782.98/x
  3. Step 3: Cross multiply
    339,502.83x = 509,252.27 × 86,782.98
  4. Step 4: Simplify right side
    339,502.83x = 44,194,429,562.36
  5. Step 5: Solve for x
    x = 44,194,429,562.36/339,502.83
  6. Step 6: Final answer
    x = 130,173.97

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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.