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Finding the Fourth Proportional to 290,516.25, 435,790.77 and 103,527.75

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Solution

The fourth proportional to 290,516.25, 435,790.77 and 103,527.75 is: 155,297.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,516.25 : 435,790.77 = 103,527.75 : x
  2. Step 2: Convert to fraction form
    290,516.25/435,790.77 = 103,527.75/x
  3. Step 3: Cross multiply
    290,516.25x = 435,790.77 × 103,527.75
  4. Step 4: Simplify right side
    290,516.25x = 45,116,437,888.87
  5. Step 5: Solve for x
    x = 45,116,437,888.87/290,516.25
  6. Step 6: Final answer
    x = 155,297.47

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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.