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Finding the Fourth Proportional to 291,980.94, 402,921.45 and 164,668.38

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Solution

The fourth proportional to 291,980.94, 402,921.45 and 164,668.38 is: 227,235.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,980.94 : 402,921.45 = 164,668.38 : x
  2. Step 2: Convert to fraction form
    291,980.94/402,921.45 = 164,668.38/x
  3. Step 3: Cross multiply
    291,980.94x = 402,921.45 × 164,668.38
  4. Step 4: Simplify right side
    291,980.94x = 66,348,422,438.75
  5. Step 5: Solve for x
    x = 66,348,422,438.75/291,980.94
  6. Step 6: Final answer
    x = 227,235.46

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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.