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Finding the Fourth Proportional to 885,657,963.60, 1,327,972,977.84 and 419,315,472.48

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Solution

The fourth proportional to 885,657,963.60, 1,327,972,977.84 and 419,315,472.48 is: 628,729,870.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    885,657,963.60 : 1,327,972,977.84 = 419,315,472.48 : x
  2. Step 2: Convert to fraction form
    885,657,963.60/1,327,972,977.84 = 419,315,472.48/x
  3. Step 3: Cross multiply
    885,657,963.60x = 1,327,972,977.84 × 419,315,472.48
  4. Step 4: Simplify right side
    885,657,963.60x = 556,839,616,643,652,160
  5. Step 5: Solve for x
    x = 556,839,616,643,652,160/885,657,963.60
  6. Step 6: Final answer
    x = 628,729,870.37

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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.