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Finding the Fourth Proportional to 290,225.88, 435,506.94 and 121,731.18

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Solution

The fourth proportional to 290,225.88, 435,506.94 and 121,731.18 is: 182,667.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,225.88 : 435,506.94 = 121,731.18 : x
  2. Step 2: Convert to fraction form
    290,225.88/435,506.94 = 121,731.18/x
  3. Step 3: Cross multiply
    290,225.88x = 435,506.94 × 121,731.18
  4. Step 4: Simplify right side
    290,225.88x = 53,014,773,704.39
  5. Step 5: Solve for x
    x = 53,014,773,704.39/290,225.88
  6. Step 6: Final answer
    x = 182,667.29

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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.