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Finding the Fourth Proportional to 354,538.74, 489,266.59 and 193,394.51

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Solution

The fourth proportional to 354,538.74, 489,266.59 and 193,394.51 is: 266,886.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,538.74 : 489,266.59 = 193,394.51 : x
  2. Step 2: Convert to fraction form
    354,538.74/489,266.59 = 193,394.51/x
  3. Step 3: Cross multiply
    354,538.74x = 489,266.59 × 193,394.51
  4. Step 4: Simplify right side
    354,538.74x = 94,621,469,502.60
  5. Step 5: Solve for x
    x = 94,621,469,502.60/354,538.74
  6. Step 6: Final answer
    x = 266,886.12

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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.