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Finding the Fourth Proportional to 290,078.30, 435,107.84 and 119,294.10

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Solution

The fourth proportional to 290,078.30, 435,107.84 and 119,294.10 is: 178,937.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,078.30 : 435,107.84 = 119,294.10 : x
  2. Step 2: Convert to fraction form
    290,078.30/435,107.84 = 119,294.10/x
  3. Step 3: Cross multiply
    290,078.30x = 435,107.84 × 119,294.10
  4. Step 4: Simplify right side
    290,078.30x = 51,905,797,579.27
  5. Step 5: Solve for x
    x = 51,905,797,579.27/290,078.30
  6. Step 6: Final answer
    x = 178,937.20

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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.