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Finding the Fourth Proportional to 290,102.86, 435,144.64 and 119,318.68

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Solution

The fourth proportional to 290,102.86, 435,144.64 and 119,318.68 is: 178,974.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,102.86 : 435,144.64 = 119,318.68 : x
  2. Step 2: Convert to fraction form
    290,102.86/435,144.64 = 119,318.68/x
  3. Step 3: Cross multiply
    290,102.86x = 435,144.64 × 119,318.68
  4. Step 4: Simplify right side
    290,102.86x = 51,920,884,053.88
  5. Step 5: Solve for x
    x = 51,920,884,053.88/290,102.86
  6. Step 6: Final answer
    x = 178,974.05

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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.