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Finding the Fourth Proportional to 290,518.08, 435,765.24 and 80,150.64

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Solution

The fourth proportional to 290,518.08, 435,765.24 and 80,150.64 is: 120,222.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,518.08 : 435,765.24 = 80,150.64 : x
  2. Step 2: Convert to fraction form
    290,518.08/435,765.24 = 80,150.64/x
  3. Step 3: Cross multiply
    290,518.08x = 435,765.24 × 80,150.64
  4. Step 4: Simplify right side
    290,518.08x = 34,926,862,875.75
  5. Step 5: Solve for x
    x = 34,926,862,875.75/290,518.08
  6. Step 6: Final answer
    x = 120,222.68

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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.