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Finding the Fourth Proportional to 354,718.14, 489,571.83 and 338,774.46

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Solution

The fourth proportional to 354,718.14, 489,571.83 and 338,774.46 is: 467,566.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,718.14 : 489,571.83 = 338,774.46 : x
  2. Step 2: Convert to fraction form
    354,718.14/489,571.83 = 338,774.46/x
  3. Step 3: Cross multiply
    354,718.14x = 489,571.83 × 338,774.46
  4. Step 4: Simplify right side
    354,718.14x = 165,854,432,339.46
  5. Step 5: Solve for x
    x = 165,854,432,339.46/354,718.14
  6. Step 6: Final answer
    x = 467,566.82

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1.5x scale

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.