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Finding the Fourth Proportional to 290,580.64, 435,896.04 and 80,218.60

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Solution

The fourth proportional to 290,580.64, 435,896.04 and 80,218.60 is: 120,334.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,580.64 : 435,896.04 = 80,218.60 : x
  2. Step 2: Convert to fraction form
    290,580.64/435,896.04 = 80,218.60/x
  3. Step 3: Cross multiply
    290,580.64x = 435,896.04 × 80,218.60
  4. Step 4: Simplify right side
    290,580.64x = 34,966,970,074.34
  5. Step 5: Solve for x
    x = 34,966,970,074.34/290,580.64
  6. Step 6: Final answer
    x = 120,334.82

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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.