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Finding the Fourth Proportional to 1,299,726.98, 1,948,975.22 and 760,139.40

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Solution

The fourth proportional to 1,299,726.98, 1,948,975.22 and 760,139.40 is: 1,139,849.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299,726.98 : 1,948,975.22 = 760,139.40 : x
  2. Step 2: Convert to fraction form
    1,299,726.98/1,948,975.22 = 760,139.40/x
  3. Step 3: Cross multiply
    1,299,726.98x = 1,948,975.22 × 760,139.40
  4. Step 4: Simplify right side
    1,299,726.98x = 1,481,492,863,554.67
  5. Step 5: Solve for x
    x = 1,481,492,863,554.67/1,299,726.98
  6. Step 6: Final answer
    x = 1,139,849.28

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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.