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Finding the Fourth Proportional to 782,769,807.12, 1,171,599,758.46 and 575,453,295.30

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Solution

The fourth proportional to 782,769,807.12, 1,171,599,758.46 and 575,453,295.30 is: 861,301,669.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    782,769,807.12 : 1,171,599,758.46 = 575,453,295.30 : x
  2. Step 2: Convert to fraction form
    782,769,807.12/1,171,599,758.46 = 575,453,295.30/x
  3. Step 3: Cross multiply
    782,769,807.12x = 1,171,599,758.46 × 575,453,295.30
  4. Step 4: Simplify right side
    782,769,807.12x = 674,200,941,778,491,008
  5. Step 5: Solve for x
    x = 674,200,941,778,491,008/782,769,807.12
  6. Step 6: Final answer
    x = 861,301,669.59

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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.