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Finding the Fourth Proportional to 339,602, 468,666.16 and 188,699

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Solution

The fourth proportional to 339,602, 468,666.16 and 188,699 is: 260,413.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,602 : 468,666.16 = 188,699 : x
  2. Step 2: Convert to fraction form
    339,602/468,666.16 = 188,699/x
  3. Step 3: Cross multiply
    339,602x = 468,666.16 × 188,699
  4. Step 4: Simplify right side
    339,602x = 88,436,835,725.84
  5. Step 5: Solve for x
    x = 88,436,835,725.84/339,602
  6. Step 6: Final answer
    x = 260,413.18

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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.