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Finding the Fourth Proportional to 290,390.88, 435,699 and 113,022.48

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Solution

The fourth proportional to 290,390.88, 435,699 and 113,022.48 is: 169,577.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,390.88 : 435,699 = 113,022.48 : x
  2. Step 2: Convert to fraction form
    290,390.88/435,699 = 113,022.48/x
  3. Step 3: Cross multiply
    290,390.88x = 435,699 × 113,022.48
  4. Step 4: Simplify right side
    290,390.88x = 49,243,781,513.52
  5. Step 5: Solve for x
    x = 49,243,781,513.52/290,390.88
  6. Step 6: Final answer
    x = 169,577.58

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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.