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Finding the Fourth Proportional to 290,025.56, 435,020.86 and 172,445.15

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Solution

The fourth proportional to 290,025.56, 435,020.86 and 172,445.15 is: 258,657.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,025.56 : 435,020.86 = 172,445.15 : x
  2. Step 2: Convert to fraction form
    290,025.56/435,020.86 = 172,445.15/x
  3. Step 3: Cross multiply
    290,025.56x = 435,020.86 × 172,445.15
  4. Step 4: Simplify right side
    290,025.56x = 75,017,238,758.94
  5. Step 5: Solve for x
    x = 75,017,238,758.94/290,025.56
  6. Step 6: Final answer
    x = 258,657.33

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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.