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Finding the Fourth Proportional to 1,043,601,978.50, 1,561,996,135.69 and 767,180,028.23

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Solution

The fourth proportional to 1,043,601,978.50, 1,561,996,135.69 and 767,180,028.23 is: 1,148,265,587.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,043,601,978.50 : 1,561,996,135.69 = 767,180,028.23 : x
  2. Step 2: Convert to fraction form
    1,043,601,978.50/1,561,996,135.69 = 767,180,028.23/x
  3. Step 3: Cross multiply
    1,043,601,978.50x = 1,561,996,135.69 × 767,180,028.23
  4. Step 4: Simplify right side
    1,043,601,978.50x = 1,198,332,239,473,805,312
  5. Step 5: Solve for x
    x = 1,198,332,239,473,805,312/1,043,601,978.50
  6. Step 6: Final answer
    x = 1,148,265,587.99

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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.