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Finding the Fourth Proportional to 354,819, 489,732.50 and 233,982.12

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Solution

The fourth proportional to 354,819, 489,732.50 and 233,982.12 is: 322,949.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,819 : 489,732.50 = 233,982.12 : x
  2. Step 2: Convert to fraction form
    354,819/489,732.50 = 233,982.12/x
  3. Step 3: Cross multiply
    354,819x = 489,732.50 × 233,982.12
  4. Step 4: Simplify right side
    354,819x = 114,588,648,582.90
  5. Step 5: Solve for x
    x = 114,588,648,582.90/354,819
  6. Step 6: Final answer
    x = 322,949.58

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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.