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Finding the Fourth Proportional to 200,347.60, 300,409.08 and 137,238.98

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Solution

The fourth proportional to 200,347.60, 300,409.08 and 137,238.98 is: 205,781.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,347.60 : 300,409.08 = 137,238.98 : x
  2. Step 2: Convert to fraction form
    200,347.60/300,409.08 = 137,238.98/x
  3. Step 3: Cross multiply
    200,347.60x = 300,409.08 × 137,238.98
  4. Step 4: Simplify right side
    200,347.60x = 41,227,835,721.94
  5. Step 5: Solve for x
    x = 41,227,835,721.94/200,347.60
  6. Step 6: Final answer
    x = 205,781.53

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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.