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Finding the Fourth Proportional to 320,071.80, 480,408.92 and 162,413.40

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Solution

The fourth proportional to 320,071.80, 480,408.92 and 162,413.40 is: 243,772.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,071.80 : 480,408.92 = 162,413.40 : x
  2. Step 2: Convert to fraction form
    320,071.80/480,408.92 = 162,413.40/x
  3. Step 3: Cross multiply
    320,071.80x = 480,408.92 × 162,413.40
  4. Step 4: Simplify right side
    320,071.80x = 78,024,846,087.53
  5. Step 5: Solve for x
    x = 78,024,846,087.53/320,071.80
  6. Step 6: Final answer
    x = 243,772.95

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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.