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Finding the Fourth Proportional to 290,918.98, 401,460.12 and 176,265.52

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Solution

The fourth proportional to 290,918.98, 401,460.12 and 176,265.52 is: 243,241.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,918.98 : 401,460.12 = 176,265.52 : x
  2. Step 2: Convert to fraction form
    290,918.98/401,460.12 = 176,265.52/x
  3. Step 3: Cross multiply
    290,918.98x = 401,460.12 × 176,265.52
  4. Step 4: Simplify right side
    290,918.98x = 70,763,576,811.06
  5. Step 5: Solve for x
    x = 70,763,576,811.06/290,918.98
  6. Step 6: Final answer
    x = 243,241.53

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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.