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Finding the Fourth Proportional to 363,894.84, 543,283.55 and 278,056.46

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Solution

The fourth proportional to 363,894.84, 543,283.55 and 278,056.46 is: 415,129.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,894.84 : 543,283.55 = 278,056.46 : x
  2. Step 2: Convert to fraction form
    363,894.84/543,283.55 = 278,056.46/x
  3. Step 3: Cross multiply
    363,894.84x = 543,283.55 × 278,056.46
  4. Step 4: Simplify right side
    363,894.84x = 151,063,496,582.53
  5. Step 5: Solve for x
    x = 151,063,496,582.53/363,894.84
  6. Step 6: Final answer
    x = 415,129.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.