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Finding the Fourth Proportional to 354,969.34, 489,855.74 and 193,823.25

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Solution

The fourth proportional to 354,969.34, 489,855.74 and 193,823.25 is: 267,475.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,969.34 : 489,855.74 = 193,823.25 : x
  2. Step 2: Convert to fraction form
    354,969.34/489,855.74 = 193,823.25/x
  3. Step 3: Cross multiply
    354,969.34x = 489,855.74 × 193,823.25
  4. Step 4: Simplify right side
    354,969.34x = 94,945,429,842.14
  5. Step 5: Solve for x
    x = 94,945,429,842.14/354,969.34
  6. Step 6: Final answer
    x = 267,475.01

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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.