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Finding the Fourth Proportional to 210,408, 290,371.68 and 120,984

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Solution

The fourth proportional to 210,408, 290,371.68 and 120,984 is: 166,962.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,408 : 290,371.68 = 120,984 : x
  2. Step 2: Convert to fraction form
    210,408/290,371.68 = 120,984/x
  3. Step 3: Cross multiply
    210,408x = 290,371.68 × 120,984
  4. Step 4: Simplify right side
    210,408x = 35,130,327,333.12
  5. Step 5: Solve for x
    x = 35,130,327,333.12/210,408
  6. Step 6: Final answer
    x = 166,962.89

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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.