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Finding the Fourth Proportional to 440,400,978.40, 660,580,472.40 and 149,239,544.80

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Solution

The fourth proportional to 440,400,978.40, 660,580,472.40 and 149,239,544.80 is: 223,852,202.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,400,978.40 : 660,580,472.40 = 149,239,544.80 : x
  2. Step 2: Convert to fraction form
    440,400,978.40/660,580,472.40 = 149,239,544.80/x
  3. Step 3: Cross multiply
    440,400,978.40x = 660,580,472.40 × 149,239,544.80
  4. Step 4: Simplify right side
    440,400,978.40x = 98,584,729,004,744,960
  5. Step 5: Solve for x
    x = 98,584,729,004,744,960/440,400,978.40
  6. Step 6: Final answer
    x = 223,852,202.52

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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.