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Finding the Fourth Proportional to 273,619.47, 410,681.49 and 138,778.17

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Solution

The fourth proportional to 273,619.47, 410,681.49 and 138,778.17 is: 208,295.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,619.47 : 410,681.49 = 138,778.17 : x
  2. Step 2: Convert to fraction form
    273,619.47/410,681.49 = 138,778.17/x
  3. Step 3: Cross multiply
    273,619.47x = 410,681.49 × 138,778.17
  4. Step 4: Simplify right side
    273,619.47x = 56,993,625,635.07
  5. Step 5: Solve for x
    x = 56,993,625,635.07/273,619.47
  6. Step 6: Final answer
    x = 208,295.22

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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.