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Finding the Fourth Proportional to 354,539.48, 489,271.32 and 193,400.44

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Solution

The fourth proportional to 354,539.48, 489,271.32 and 193,400.44 is: 266,896.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,539.48 : 489,271.32 = 193,400.44 : x
  2. Step 2: Convert to fraction form
    354,539.48/489,271.32 = 193,400.44/x
  3. Step 3: Cross multiply
    354,539.48x = 489,271.32 × 193,400.44
  4. Step 4: Simplify right side
    354,539.48x = 94,625,288,567.38
  5. Step 5: Solve for x
    x = 94,625,288,567.38/354,539.48
  6. Step 6: Final answer
    x = 266,896.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.