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Finding the Fourth Proportional to 766,901,764.80, 1,150,352,647.20 and 644,457,758.40

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Solution

The fourth proportional to 766,901,764.80, 1,150,352,647.20 and 644,457,758.40 is: 966,686,637.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    766,901,764.80 : 1,150,352,647.20 = 644,457,758.40 : x
  2. Step 2: Convert to fraction form
    766,901,764.80/1,150,352,647.20 = 644,457,758.40/x
  3. Step 3: Cross multiply
    766,901,764.80x = 1,150,352,647.20 × 644,457,758.40
  4. Step 4: Simplify right side
    766,901,764.80x = 741,353,688,384,018,048
  5. Step 5: Solve for x
    x = 741,353,688,384,018,048/766,901,764.80
  6. Step 6: Final answer
    x = 966,686,637.60

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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.