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Finding the Fourth Proportional to 903,945,308.80, 1,355,917,963.20 and 699,871,964.80

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Solution

The fourth proportional to 903,945,308.80, 1,355,917,963.20 and 699,871,964.80 is: 1,049,807,947.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    903,945,308.80 : 1,355,917,963.20 = 699,871,964.80 : x
  2. Step 2: Convert to fraction form
    903,945,308.80/1,355,917,963.20 = 699,871,964.80/x
  3. Step 3: Cross multiply
    903,945,308.80x = 1,355,917,963.20 × 699,871,964.80
  4. Step 4: Simplify right side
    903,945,308.80x = 948,968,969,012,398,080
  5. Step 5: Solve for x
    x = 948,968,969,012,398,080/903,945,308.80
  6. Step 6: Final answer
    x = 1,049,807,947.20

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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.