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Finding the Fourth Proportional to 354,302.74, 489,074.29 and 259,561.94

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Solution

The fourth proportional to 354,302.74, 489,074.29 and 259,561.94 is: 358,295.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,302.74 : 489,074.29 = 259,561.94 : x
  2. Step 2: Convert to fraction form
    354,302.74/489,074.29 = 259,561.94/x
  3. Step 3: Cross multiply
    354,302.74x = 489,074.29 × 259,561.94
  4. Step 4: Simplify right side
    354,302.74x = 126,945,071,516.52
  5. Step 5: Solve for x
    x = 126,945,071,516.52/354,302.74
  6. Step 6: Final answer
    x = 358,295.48

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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.