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Finding the Fourth Proportional to 420,517.20, 630,921.60 and 184,029.60

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Solution

The fourth proportional to 420,517.20, 630,921.60 and 184,029.60 is: 276,108.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,517.20 : 630,921.60 = 184,029.60 : x
  2. Step 2: Convert to fraction form
    420,517.20/630,921.60 = 184,029.60/x
  3. Step 3: Cross multiply
    420,517.20x = 630,921.60 × 184,029.60
  4. Step 4: Simplify right side
    420,517.20x = 116,108,249,679.36
  5. Step 5: Solve for x
    x = 116,108,249,679.36/420,517.20
  6. Step 6: Final answer
    x = 276,108.21

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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.