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Finding the Fourth Proportional to 354,800, 489,624 and 241,820.12

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Solution

The fourth proportional to 354,800, 489,624 and 241,820.12 is: 333,711.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,800 : 489,624 = 241,820.12 : x
  2. Step 2: Convert to fraction form
    354,800/489,624 = 241,820.12/x
  3. Step 3: Cross multiply
    354,800x = 489,624 × 241,820.12
  4. Step 4: Simplify right side
    354,800x = 118,400,934,434.88
  5. Step 5: Solve for x
    x = 118,400,934,434.88/354,800
  6. Step 6: Final answer
    x = 333,711.77

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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.