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Finding the Fourth Proportional to 1,296,510,157, 1,788,514,484.36 and 878,679,549.64

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Solution

The fourth proportional to 1,296,510,157, 1,788,514,484.36 and 878,679,549.64 is: 1,212,124,018.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296,510,157 : 1,788,514,484.36 = 878,679,549.64 : x
  2. Step 2: Convert to fraction form
    1,296,510,157/1,788,514,484.36 = 878,679,549.64/x
  3. Step 3: Cross multiply
    1,296,510,157x = 1,788,514,484.36 × 878,679,549.64
  4. Step 4: Simplify right side
    1,296,510,157x = 1,571,531,101,642,061,568
  5. Step 5: Solve for x
    x = 1,571,531,101,642,061,568/1,296,510,157
  6. Step 6: Final answer
    x = 1,212,124,018.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.