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Finding the Fourth Proportional to 289,971.93, 434,779.23 and 100,388.19

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Solution

The fourth proportional to 289,971.93, 434,779.23 and 100,388.19 is: 150,520.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,971.93 : 434,779.23 = 100,388.19 : x
  2. Step 2: Convert to fraction form
    289,971.93/434,779.23 = 100,388.19/x
  3. Step 3: Cross multiply
    289,971.93x = 434,779.23 × 100,388.19
  4. Step 4: Simplify right side
    289,971.93x = 43,646,699,949.29
  5. Step 5: Solve for x
    x = 43,646,699,949.29/289,971.93
  6. Step 6: Final answer
    x = 150,520.43

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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.