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Finding the Fourth Proportional to 354,551.24, 489,289.94 and 193,409

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Solution

The fourth proportional to 354,551.24, 489,289.94 and 193,409 is: 266,909.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,551.24 : 489,289.94 = 193,409 : x
  2. Step 2: Convert to fraction form
    354,551.24/489,289.94 = 193,409/x
  3. Step 3: Cross multiply
    354,551.24x = 489,289.94 × 193,409
  4. Step 4: Simplify right side
    354,551.24x = 94,633,078,005.46
  5. Step 5: Solve for x
    x = 94,633,078,005.46/354,551.24
  6. Step 6: Final answer
    x = 266,909.45

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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.