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Finding the Fourth Proportional to 357,982.26, 536,945.30 and 208,127

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Solution

The fourth proportional to 357,982.26, 536,945.30 and 208,127 is: 312,174.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,982.26 : 536,945.30 = 208,127 : x
  2. Step 2: Convert to fraction form
    357,982.26/536,945.30 = 208,127/x
  3. Step 3: Cross multiply
    357,982.26x = 536,945.30 × 208,127
  4. Step 4: Simplify right side
    357,982.26x = 111,752,814,453.10
  5. Step 5: Solve for x
    x = 111,752,814,453.10/357,982.26
  6. Step 6: Final answer
    x = 312,174.17

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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.