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Finding the Fourth Proportional to 270,347.40, 405,930.70 and 208,088.20

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Solution

The fourth proportional to 270,347.40, 405,930.70 and 208,088.20 is: 312,447.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,347.40 : 405,930.70 = 208,088.20 : x
  2. Step 2: Convert to fraction form
    270,347.40/405,930.70 = 208,088.20/x
  3. Step 3: Cross multiply
    270,347.40x = 405,930.70 × 208,088.20
  4. Step 4: Simplify right side
    270,347.40x = 84,469,388,687.74
  5. Step 5: Solve for x
    x = 84,469,388,687.74/270,347.40
  6. Step 6: Final answer
    x = 312,447.57

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1.5x scale

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.