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Finding the Fourth Proportional to 354,918.65, 489,605.42 and 234,015.82

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Solution

The fourth proportional to 354,918.65, 489,605.42 and 234,015.82 is: 322,821.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,918.65 : 489,605.42 = 234,015.82 : x
  2. Step 2: Convert to fraction form
    354,918.65/489,605.42 = 234,015.82/x
  3. Step 3: Cross multiply
    354,918.65x = 489,605.42 × 234,015.82
  4. Step 4: Simplify right side
    354,918.65x = 114,575,413,198.77
  5. Step 5: Solve for x
    x = 114,575,413,198.77/354,918.65
  6. Step 6: Final answer
    x = 322,821.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.