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Finding the Fourth Proportional to 489,953.38, 734,643.92 and 190,083.54

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Solution

The fourth proportional to 489,953.38, 734,643.92 and 190,083.54 is: 285,014.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,953.38 : 734,643.92 = 190,083.54 : x
  2. Step 2: Convert to fraction form
    489,953.38/734,643.92 = 190,083.54/x
  3. Step 3: Cross multiply
    489,953.38x = 734,643.92 × 190,083.54
  4. Step 4: Simplify right side
    489,953.38x = 139,643,716,953.08
  5. Step 5: Solve for x
    x = 139,643,716,953.08/489,953.38
  6. Step 6: Final answer
    x = 285,014.29

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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.