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Finding the Fourth Proportional to 290,609.80, 435,914.70 and 185,115.40

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Solution

The fourth proportional to 290,609.80, 435,914.70 and 185,115.40 is: 277,673.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,609.80 : 435,914.70 = 185,115.40 : x
  2. Step 2: Convert to fraction form
    290,609.80/435,914.70 = 185,115.40/x
  3. Step 3: Cross multiply
    290,609.80x = 435,914.70 × 185,115.40
  4. Step 4: Simplify right side
    290,609.80x = 80,694,524,056.38
  5. Step 5: Solve for x
    x = 80,694,524,056.38/290,609.80
  6. Step 6: Final answer
    x = 277,673.10

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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.