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Finding the Fourth Proportional to 771,804,179.70, 1,065,096,495 and 419,380,169.22

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Solution

The fourth proportional to 771,804,179.70, 1,065,096,495 and 419,380,169.22 is: 578,748,288.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,804,179.70 : 1,065,096,495 = 419,380,169.22 : x
  2. Step 2: Convert to fraction form
    771,804,179.70/1,065,096,495 = 419,380,169.22/x
  3. Step 3: Cross multiply
    771,804,179.70x = 1,065,096,495 × 419,380,169.22
  4. Step 4: Simplify right side
    771,804,179.70x = 446,680,348,308,728,896
  5. Step 5: Solve for x
    x = 446,680,348,308,728,896/771,804,179.70
  6. Step 6: Final answer
    x = 578,748,288.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.