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Finding the Fourth Proportional to 290,578.94, 435,056.48 and 156,980.57

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Solution

The fourth proportional to 290,578.94, 435,056.48 and 156,980.57 is: 235,032.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,578.94 : 435,056.48 = 156,980.57 : x
  2. Step 2: Convert to fraction form
    290,578.94/435,056.48 = 156,980.57/x
  3. Step 3: Cross multiply
    290,578.94x = 435,056.48 × 156,980.57
  4. Step 4: Simplify right side
    290,578.94x = 68,295,414,515.33
  5. Step 5: Solve for x
    x = 68,295,414,515.33/290,578.94
  6. Step 6: Final answer
    x = 235,032.23

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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.