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Finding the Fourth Proportional to 290,257.21, 435,370.32 and 90,554.68

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Solution

The fourth proportional to 290,257.21, 435,370.32 and 90,554.68 is: 135,827.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,257.21 : 435,370.32 = 90,554.68 : x
  2. Step 2: Convert to fraction form
    290,257.21/435,370.32 = 90,554.68/x
  3. Step 3: Cross multiply
    290,257.21x = 435,370.32 × 90,554.68
  4. Step 4: Simplify right side
    290,257.21x = 39,424,820,009.10
  5. Step 5: Solve for x
    x = 39,424,820,009.10/290,257.21
  6. Step 6: Final answer
    x = 135,827.19

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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.