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Finding the Fourth Proportional to 489,804.57, 734,990.63 and 205,470

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Solution

The fourth proportional to 489,804.57, 734,990.63 and 205,470 is: 308,324.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,804.57 : 734,990.63 = 205,470 : x
  2. Step 2: Convert to fraction form
    489,804.57/734,990.63 = 205,470/x
  3. Step 3: Cross multiply
    489,804.57x = 734,990.63 × 205,470
  4. Step 4: Simplify right side
    489,804.57x = 151,018,523,718.75
  5. Step 5: Solve for x
    x = 151,018,523,718.75/489,804.57
  6. Step 6: Final answer
    x = 308,324.04

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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.