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Finding the Fourth Proportional to 489,415.44, 734,035.65 and 311,393.64

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Solution

The fourth proportional to 489,415.44, 734,035.65 and 311,393.64 is: 467,034.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,415.44 : 734,035.65 = 311,393.64 : x
  2. Step 2: Convert to fraction form
    489,415.44/734,035.65 = 311,393.64/x
  3. Step 3: Cross multiply
    489,415.44x = 734,035.65 × 311,393.64
  4. Step 4: Simplify right side
    489,415.44x = 228,574,032,943.27
  5. Step 5: Solve for x
    x = 228,574,032,943.27/489,415.44
  6. Step 6: Final answer
    x = 467,034.78

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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.