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Finding the Fourth Proportional to 1,259,978.70, 1,889,968.05 and 1,102,514.70

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Solution

The fourth proportional to 1,259,978.70, 1,889,968.05 and 1,102,514.70 is: 1,653,772.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,259,978.70 : 1,889,968.05 = 1,102,514.70 : x
  2. Step 2: Convert to fraction form
    1,259,978.70/1,889,968.05 = 1,102,514.70/x
  3. Step 3: Cross multiply
    1,259,978.70x = 1,889,968.05 × 1,102,514.70
  4. Step 4: Simplify right side
    1,259,978.70x = 2,083,717,557,655.34
  5. Step 5: Solve for x
    x = 2,083,717,557,655.34/1,259,978.70
  6. Step 6: Final answer
    x = 1,653,772.05

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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.