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Finding the Fourth Proportional to 818,714,569.20, 1,228,071,853.80 and 797,191,208.70

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Solution

The fourth proportional to 818,714,569.20, 1,228,071,853.80 and 797,191,208.70 is: 1,195,786,813.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    818,714,569.20 : 1,228,071,853.80 = 797,191,208.70 : x
  2. Step 2: Convert to fraction form
    818,714,569.20/1,228,071,853.80 = 797,191,208.70/x
  3. Step 3: Cross multiply
    818,714,569.20x = 1,228,071,853.80 × 797,191,208.70
  4. Step 4: Simplify right side
    818,714,569.20x = 979,008,085,501,271,680
  5. Step 5: Solve for x
    x = 979,008,085,501,271,680/818,714,569.20
  6. Step 6: Final answer
    x = 1,195,786,813.05

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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.