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Finding the Fourth Proportional to 320,413.32, 480,908.88 and 170,778.24

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Solution

The fourth proportional to 320,413.32, 480,908.88 and 170,778.24 is: 256,321.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,413.32 : 480,908.88 = 170,778.24 : x
  2. Step 2: Convert to fraction form
    320,413.32/480,908.88 = 170,778.24/x
  3. Step 3: Cross multiply
    320,413.32x = 480,908.88 × 170,778.24
  4. Step 4: Simplify right side
    320,413.32x = 82,128,772,126.77
  5. Step 5: Solve for x
    x = 82,128,772,126.77/320,413.32
  6. Step 6: Final answer
    x = 256,321.34

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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.