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Finding the Fourth Proportional to 354,538.87, 489,266.76 and 193,394.63

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Solution

The fourth proportional to 354,538.87, 489,266.76 and 193,394.63 is: 266,886.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,538.87 : 489,266.76 = 193,394.63 : x
  2. Step 2: Convert to fraction form
    354,538.87/489,266.76 = 193,394.63/x
  3. Step 3: Cross multiply
    354,538.87x = 489,266.76 × 193,394.63
  4. Step 4: Simplify right side
    354,538.87x = 94,621,564,021.50
  5. Step 5: Solve for x
    x = 94,621,564,021.50/354,538.87
  6. Step 6: Final answer
    x = 266,886.29

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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.