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Finding the Fourth Proportional to 270,117.34, 405,430.25 and 137,093.06

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Solution

The fourth proportional to 270,117.34, 405,430.25 and 137,093.06 is: 205,768.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,117.34 : 405,430.25 = 137,093.06 : x
  2. Step 2: Convert to fraction form
    270,117.34/405,430.25 = 137,093.06/x
  3. Step 3: Cross multiply
    270,117.34x = 405,430.25 × 137,093.06
  4. Step 4: Simplify right side
    270,117.34x = 55,581,673,917.18
  5. Step 5: Solve for x
    x = 55,581,673,917.18/270,117.34
  6. Step 6: Final answer
    x = 205,768.63

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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.