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Finding the Fourth Proportional to 804,818,407.80, 1,207,227,611.70 and 774,207,406.20

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Solution

The fourth proportional to 804,818,407.80, 1,207,227,611.70 and 774,207,406.20 is: 1,161,311,109.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    804,818,407.80 : 1,207,227,611.70 = 774,207,406.20 : x
  2. Step 2: Convert to fraction form
    804,818,407.80/1,207,227,611.70 = 774,207,406.20/x
  3. Step 3: Cross multiply
    804,818,407.80x = 1,207,227,611.70 × 774,207,406.20
  4. Step 4: Simplify right side
    804,818,407.80x = 934,644,557,947,277,824
  5. Step 5: Solve for x
    x = 934,644,557,947,277,824/804,818,407.80
  6. Step 6: Final answer
    x = 1,161,311,109.30

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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.