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Finding the Fourth Proportional to 310,413.40, 465,749.70 and 100,115.80

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Solution

The fourth proportional to 310,413.40, 465,749.70 and 100,115.80 is: 150,215.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,413.40 : 465,749.70 = 100,115.80 : x
  2. Step 2: Convert to fraction form
    310,413.40/465,749.70 = 100,115.80/x
  3. Step 3: Cross multiply
    310,413.40x = 465,749.70 × 100,115.80
  4. Step 4: Simplify right side
    310,413.40x = 46,628,903,815.26
  5. Step 5: Solve for x
    x = 46,628,903,815.26/310,413.40
  6. Step 6: Final answer
    x = 150,215.50

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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.