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Finding the Fourth Proportional to 290,295.96, 435,471.48 and 112,816.68

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Solution

The fourth proportional to 290,295.96, 435,471.48 and 112,816.68 is: 169,235.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,295.96 : 435,471.48 = 112,816.68 : x
  2. Step 2: Convert to fraction form
    290,295.96/435,471.48 = 112,816.68/x
  3. Step 3: Cross multiply
    290,295.96x = 435,471.48 × 112,816.68
  4. Step 4: Simplify right side
    290,295.96x = 49,128,446,608.29
  5. Step 5: Solve for x
    x = 49,128,446,608.29/290,295.96
  6. Step 6: Final answer
    x = 169,235.72

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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.