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Finding the Fourth Proportional to 210,400.48, 290,354.64 and 119,752

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Solution

The fourth proportional to 210,400.48, 290,354.64 and 119,752 is: 165,258.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,400.48 : 290,354.64 = 119,752 : x
  2. Step 2: Convert to fraction form
    210,400.48/290,354.64 = 119,752/x
  3. Step 3: Cross multiply
    210,400.48x = 290,354.64 × 119,752
  4. Step 4: Simplify right side
    210,400.48x = 34,770,548,849.28
  5. Step 5: Solve for x
    x = 34,770,548,849.28/210,400.48
  6. Step 6: Final answer
    x = 165,258.89

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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.