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Finding the Fourth Proportional to 290,027.07, 435,023.12 and 172,446.66

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Solution

The fourth proportional to 290,027.07, 435,023.12 and 172,446.66 is: 258,659.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,027.07 : 435,023.12 = 172,446.66 : x
  2. Step 2: Convert to fraction form
    290,027.07/435,023.12 = 172,446.66/x
  3. Step 3: Cross multiply
    290,027.07x = 435,023.12 × 172,446.66
  4. Step 4: Simplify right side
    290,027.07x = 75,018,283,204.55
  5. Step 5: Solve for x
    x = 75,018,283,204.55/290,027.07
  6. Step 6: Final answer
    x = 258,659.59

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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.