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Finding the Fourth Proportional to 420,129, 580,261.68 and 305,918.28

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Solution

The fourth proportional to 420,129, 580,261.68 and 305,918.28 is: 422,519.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,129 : 580,261.68 = 305,918.28 : x
  2. Step 2: Convert to fraction form
    420,129/580,261.68 = 305,918.28/x
  3. Step 3: Cross multiply
    420,129x = 580,261.68 × 305,918.28
  4. Step 4: Simplify right side
    420,129x = 177,512,655,095.51
  5. Step 5: Solve for x
    x = 177,512,655,095.51/420,129
  6. Step 6: Final answer
    x = 422,519.40

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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.