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Finding the Fourth Proportional to 210,494.88, 290,484 and 115,003.26

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Solution

The fourth proportional to 210,494.88, 290,484 and 115,003.26 is: 158,705.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,494.88 : 290,484 = 115,003.26 : x
  2. Step 2: Convert to fraction form
    210,494.88/290,484 = 115,003.26/x
  3. Step 3: Cross multiply
    210,494.88x = 290,484 × 115,003.26
  4. Step 4: Simplify right side
    210,494.88x = 33,406,606,977.84
  5. Step 5: Solve for x
    x = 33,406,606,977.84/210,494.88
  6. Step 6: Final answer
    x = 158,705.08

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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.