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Finding the Fourth Proportional to 1,298,846,949.06, 1,948,063,032.72 and 378,508,010.34

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Solution

The fourth proportional to 1,298,846,949.06, 1,948,063,032.72 and 378,508,010.34 is: 567,701,577.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298,846,949.06 : 1,948,063,032.72 = 378,508,010.34 : x
  2. Step 2: Convert to fraction form
    1,298,846,949.06/1,948,063,032.72 = 378,508,010.34/x
  3. Step 3: Cross multiply
    1,298,846,949.06x = 1,948,063,032.72 × 378,508,010.34
  4. Step 4: Simplify right side
    1,298,846,949.06x = 737,357,462,531,753,472
  5. Step 5: Solve for x
    x = 737,357,462,531,753,472/1,298,846,949.06
  6. Step 6: Final answer
    x = 567,701,577.98

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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.