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Finding the Fourth Proportional to 290,038.71, 434,953.83 and 100,448.03

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Solution

The fourth proportional to 290,038.71, 434,953.83 and 100,448.03 is: 150,635.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,038.71 : 434,953.83 = 100,448.03 : x
  2. Step 2: Convert to fraction form
    290,038.71/434,953.83 = 100,448.03/x
  3. Step 3: Cross multiply
    290,038.71x = 434,953.83 × 100,448.03
  4. Step 4: Simplify right side
    290,038.71x = 43,690,253,189.69
  5. Step 5: Solve for x
    x = 43,690,253,189.69/290,038.71
  6. Step 6: Final answer
    x = 150,635.94

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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.