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Finding the Fourth Proportional to 419,064,993.78, 628,866,533.79 and 281,046,444.68

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Solution

The fourth proportional to 419,064,993.78, 628,866,533.79 and 281,046,444.68 is: 421,750,101.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,064,993.78 : 628,866,533.79 = 281,046,444.68 : x
  2. Step 2: Convert to fraction form
    419,064,993.78/628,866,533.79 = 281,046,444.68/x
  3. Step 3: Cross multiply
    419,064,993.78x = 628,866,533.79 × 281,046,444.68
  4. Step 4: Simplify right side
    419,064,993.78x = 176,740,703,496,770,240
  5. Step 5: Solve for x
    x = 176,740,703,496,770,240/419,064,993.78
  6. Step 6: Final answer
    x = 421,750,101.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.