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Finding the Fourth Proportional to 354,755.30, 489,566.85 and 209,565.86

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Solution

The fourth proportional to 354,755.30, 489,566.85 and 209,565.86 is: 289,203.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,755.30 : 489,566.85 = 209,565.86 : x
  2. Step 2: Convert to fraction form
    354,755.30/489,566.85 = 209,565.86/x
  3. Step 3: Cross multiply
    354,755.30x = 489,566.85 × 209,565.86
  4. Step 4: Simplify right side
    354,755.30x = 102,596,497,947.74
  5. Step 5: Solve for x
    x = 102,596,497,947.74/354,755.30
  6. Step 6: Final answer
    x = 289,203.57

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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.