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Finding the Fourth Proportional to 290,464.10, 435,684.30 and 100,967.43

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Solution

The fourth proportional to 290,464.10, 435,684.30 and 100,967.43 is: 151,447.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,464.10 : 435,684.30 = 100,967.43 : x
  2. Step 2: Convert to fraction form
    290,464.10/435,684.30 = 100,967.43/x
  3. Step 3: Cross multiply
    290,464.10x = 435,684.30 × 100,967.43
  4. Step 4: Simplify right side
    290,464.10x = 43,989,924,062.35
  5. Step 5: Solve for x
    x = 43,989,924,062.35/290,464.10
  6. Step 6: Final answer
    x = 151,447.03

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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.