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Finding the Fourth Proportional to 551,413.83, 760,954.13 and 309,696.44

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Solution

The fourth proportional to 551,413.83, 760,954.13 and 309,696.44 is: 427,382.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,413.83 : 760,954.13 = 309,696.44 : x
  2. Step 2: Convert to fraction form
    551,413.83/760,954.13 = 309,696.44/x
  3. Step 3: Cross multiply
    551,413.83x = 760,954.13 × 309,696.44
  4. Step 4: Simplify right side
    551,413.83x = 235,664,779,711.04
  5. Step 5: Solve for x
    x = 235,664,779,711.04/551,413.83
  6. Step 6: Final answer
    x = 427,382.79

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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.