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Finding the Fourth Proportional to 320,558.62, 480,413.20 and 170,475.74

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Solution

The fourth proportional to 320,558.62, 480,413.20 and 170,475.74 is: 255,487.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,558.62 : 480,413.20 = 170,475.74 : x
  2. Step 2: Convert to fraction form
    320,558.62/480,413.20 = 170,475.74/x
  3. Step 3: Cross multiply
    320,558.62x = 480,413.20 × 170,475.74
  4. Step 4: Simplify right side
    320,558.62x = 81,898,795,775.77
  5. Step 5: Solve for x
    x = 81,898,795,775.77/320,558.62
  6. Step 6: Final answer
    x = 255,487.74

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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.