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Finding the Fourth Proportional to 325,563.60, 489,095.86 and 312,111.84

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Solution

The fourth proportional to 325,563.60, 489,095.86 and 312,111.84 is: 468,887.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,563.60 : 489,095.86 = 312,111.84 : x
  2. Step 2: Convert to fraction form
    325,563.60/489,095.86 = 312,111.84/x
  3. Step 3: Cross multiply
    325,563.60x = 489,095.86 × 312,111.84
  4. Step 4: Simplify right side
    325,563.60x = 152,652,608,800.98
  5. Step 5: Solve for x
    x = 152,652,608,800.98/325,563.60
  6. Step 6: Final answer
    x = 468,887.21

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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.