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Finding the Fourth Proportional to 201,838.30, 303,413.55 and 172,969.90

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Solution

The fourth proportional to 201,838.30, 303,413.55 and 172,969.90 is: 260,017.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,838.30 : 303,413.55 = 172,969.90 : x
  2. Step 2: Convert to fraction form
    201,838.30/303,413.55 = 172,969.90/x
  3. Step 3: Cross multiply
    201,838.30x = 303,413.55 × 172,969.90
  4. Step 4: Simplify right side
    201,838.30x = 52,481,411,402.15
  5. Step 5: Solve for x
    x = 52,481,411,402.15/201,838.30
  6. Step 6: Final answer
    x = 260,017.11

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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.