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Finding the Fourth Proportional to 210,494.44, 290,484.90 and 115,002.28

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Solution

The fourth proportional to 210,494.44, 290,484.90 and 115,002.28 is: 158,704.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,494.44 : 290,484.90 = 115,002.28 : x
  2. Step 2: Convert to fraction form
    210,494.44/290,484.90 = 115,002.28/x
  3. Step 3: Cross multiply
    210,494.44x = 290,484.90 × 115,002.28
  4. Step 4: Simplify right side
    210,494.44x = 33,406,425,805.57
  5. Step 5: Solve for x
    x = 33,406,425,805.57/210,494.44
  6. Step 6: Final answer
    x = 158,704.55

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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.