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Finding the Fourth Proportional to 286,413.33, 395,198.28 and 165,510.30

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Solution

The fourth proportional to 286,413.33, 395,198.28 and 165,510.30 is: 228,374.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,413.33 : 395,198.28 = 165,510.30 : x
  2. Step 2: Convert to fraction form
    286,413.33/395,198.28 = 165,510.30/x
  3. Step 3: Cross multiply
    286,413.33x = 395,198.28 × 165,510.30
  4. Step 4: Simplify right side
    286,413.33x = 65,409,385,882.28
  5. Step 5: Solve for x
    x = 65,409,385,882.28/286,413.33
  6. Step 6: Final answer
    x = 228,374.10

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1.5x scale

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.