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Finding the Fourth Proportional to 354,780, 489,596.40 and 241,800.12

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Solution

The fourth proportional to 354,780, 489,596.40 and 241,800.12 is: 333,684.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,780 : 489,596.40 = 241,800.12 : x
  2. Step 2: Convert to fraction form
    354,780/489,596.40 = 241,800.12/x
  3. Step 3: Cross multiply
    354,780x = 489,596.40 × 241,800.12
  4. Step 4: Simplify right side
    354,780x = 118,384,468,271.57
  5. Step 5: Solve for x
    x = 118,384,468,271.57/354,780
  6. Step 6: Final answer
    x = 333,684.17

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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.