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Finding the Fourth Proportional to 542,968.96, 814,616.88 and 489,409.63

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Solution

The fourth proportional to 542,968.96, 814,616.88 and 489,409.63 is: 734,261.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,968.96 : 814,616.88 = 489,409.63 : x
  2. Step 2: Convert to fraction form
    542,968.96/814,616.88 = 489,409.63/x
  3. Step 3: Cross multiply
    542,968.96x = 814,616.88 × 489,409.63
  4. Step 4: Simplify right side
    542,968.96x = 398,681,345,832.55
  5. Step 5: Solve for x
    x = 398,681,345,832.55/542,968.96
  6. Step 6: Final answer
    x = 734,261.76

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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.