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Finding the Fourth Proportional to 628,648,096.80, 942,972,145.20 and 475,593,088.80

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Solution

The fourth proportional to 628,648,096.80, 942,972,145.20 and 475,593,088.80 is: 713,389,633.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    628,648,096.80 : 942,972,145.20 = 475,593,088.80 : x
  2. Step 2: Convert to fraction form
    628,648,096.80/942,972,145.20 = 475,593,088.80/x
  3. Step 3: Cross multiply
    628,648,096.80x = 942,972,145.20 × 475,593,088.80
  4. Step 4: Simplify right side
    628,648,096.80x = 448,471,035,188,030,144
  5. Step 5: Solve for x
    x = 448,471,035,188,030,144/628,648,096.80
  6. Step 6: Final answer
    x = 713,389,633.20

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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.