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Finding the Fourth Proportional to 290,786.05, 401,264.88 and 176,128.33

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Solution

The fourth proportional to 290,786.05, 401,264.88 and 176,128.33 is: 243,045.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,786.05 : 401,264.88 = 176,128.33 : x
  2. Step 2: Convert to fraction form
    290,786.05/401,264.88 = 176,128.33/x
  3. Step 3: Cross multiply
    290,786.05x = 401,264.88 × 176,128.33
  4. Step 4: Simplify right side
    290,786.05x = 70,674,113,202.05
  5. Step 5: Solve for x
    x = 70,674,113,202.05/290,786.05
  6. Step 6: Final answer
    x = 243,045.06

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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.