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Finding the Fourth Proportional to 354,943.23, 489,763.89 and 209,728.83

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Solution

The fourth proportional to 354,943.23, 489,763.89 and 209,728.83 is: 289,391.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,943.23 : 489,763.89 = 209,728.83 : x
  2. Step 2: Convert to fraction form
    354,943.23/489,763.89 = 209,728.83/x
  3. Step 3: Cross multiply
    354,943.23x = 489,763.89 × 209,728.83
  4. Step 4: Simplify right side
    354,943.23x = 102,717,607,625.95
  5. Step 5: Solve for x
    x = 102,717,607,625.95/354,943.23
  6. Step 6: Final answer
    x = 289,391.65

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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.