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Finding the Fourth Proportional to 405,413.10, 608,119.65 and 195,072.30

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Solution

The fourth proportional to 405,413.10, 608,119.65 and 195,072.30 is: 292,608.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,413.10 : 608,119.65 = 195,072.30 : x
  2. Step 2: Convert to fraction form
    405,413.10/608,119.65 = 195,072.30/x
  3. Step 3: Cross multiply
    405,413.10x = 608,119.65 × 195,072.30
  4. Step 4: Simplify right side
    405,413.10x = 118,627,298,800.70
  5. Step 5: Solve for x
    x = 118,627,298,800.70/405,413.10
  6. Step 6: Final answer
    x = 292,608.45

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1.5x scale

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.