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Finding the Fourth Proportional to 489,468.33, 734,114.88 and 311,446.53

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Solution

The fourth proportional to 489,468.33, 734,114.88 and 311,446.53 is: 467,114.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,468.33 : 734,114.88 = 311,446.53 : x
  2. Step 2: Convert to fraction form
    489,468.33/734,114.88 = 311,446.53/x
  3. Step 3: Cross multiply
    489,468.33x = 734,114.88 × 311,446.53
  4. Step 4: Simplify right side
    489,468.33x = 228,637,531,997.37
  5. Step 5: Solve for x
    x = 228,637,531,997.37/489,468.33
  6. Step 6: Final answer
    x = 467,114.05

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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.