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Finding the Fourth Proportional to 290,955.42, 401,716.17 and 214,483.32

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Solution

The fourth proportional to 290,955.42, 401,716.17 and 214,483.32 is: 296,132.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,955.42 : 401,716.17 = 214,483.32 : x
  2. Step 2: Convert to fraction form
    290,955.42/401,716.17 = 214,483.32/x
  3. Step 3: Cross multiply
    290,955.42x = 401,716.17 × 214,483.32
  4. Step 4: Simplify right side
    290,955.42x = 86,161,417,839.28
  5. Step 5: Solve for x
    x = 86,161,417,839.28/290,955.42
  6. Step 6: Final answer
    x = 296,132.71

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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.