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Finding the Fourth Proportional to 542,977.96, 814,630.38 and 489,418.63

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Solution

The fourth proportional to 542,977.96, 814,630.38 and 489,418.63 is: 734,275.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,977.96 : 814,630.38 = 489,418.63 : x
  2. Step 2: Convert to fraction form
    542,977.96/814,630.38 = 489,418.63/x
  3. Step 3: Cross multiply
    542,977.96x = 814,630.38 × 489,418.63
  4. Step 4: Simplify right side
    542,977.96x = 398,695,284,535.98
  5. Step 5: Solve for x
    x = 398,695,284,535.98/542,977.96
  6. Step 6: Final answer
    x = 734,275.26

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1.5x scale

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.