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Finding the Fourth Proportional to 302,129.81, 416,945.79 and 166,170.63

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Solution

The fourth proportional to 302,129.81, 416,945.79 and 166,170.63 is: 229,319.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,129.81 : 416,945.79 = 166,170.63 : x
  2. Step 2: Convert to fraction form
    302,129.81/416,945.79 = 166,170.63/x
  3. Step 3: Cross multiply
    302,129.81x = 416,945.79 × 166,170.63
  4. Step 4: Simplify right side
    302,129.81x = 69,284,144,600.15
  5. Step 5: Solve for x
    x = 69,284,144,600.15/302,129.81
  6. Step 6: Final answer
    x = 229,319.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.