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Finding the Fourth Proportional to 421,494,673.92, 631,780,796.86 and 217,035,018.24

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Solution

The fourth proportional to 421,494,673.92, 631,780,796.86 and 217,035,018.24 is: 325,315,040.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,494,673.92 : 631,780,796.86 = 217,035,018.24 : x
  2. Step 2: Convert to fraction form
    421,494,673.92/631,780,796.86 = 217,035,018.24/x
  3. Step 3: Cross multiply
    421,494,673.92x = 631,780,796.86 × 217,035,018.24
  4. Step 4: Simplify right side
    421,494,673.92x = 137,118,556,770,191,840
  5. Step 5: Solve for x
    x = 137,118,556,770,191,840/421,494,673.92
  6. Step 6: Final answer
    x = 325,315,040.15

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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.