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Finding the Fourth Proportional to 290,036.49, 435,372.86 and 230,448.03

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Solution

The fourth proportional to 290,036.49, 435,372.86 and 230,448.03 is: 345,924.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,036.49 : 435,372.86 = 230,448.03 : x
  2. Step 2: Convert to fraction form
    290,036.49/435,372.86 = 230,448.03/x
  3. Step 3: Cross multiply
    290,036.49x = 435,372.86 × 230,448.03
  4. Step 4: Simplify right side
    290,036.49x = 100,330,817,902.47
  5. Step 5: Solve for x
    x = 100,330,817,902.47/290,036.49
  6. Step 6: Final answer
    x = 345,924.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.