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Finding the Fourth Proportional to 323,883.60, 485,710.20 and 146,475.60

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Solution

The fourth proportional to 323,883.60, 485,710.20 and 146,475.60 is: 219,661.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,883.60 : 485,710.20 = 146,475.60 : x
  2. Step 2: Convert to fraction form
    323,883.60/485,710.20 = 146,475.60/x
  3. Step 3: Cross multiply
    323,883.60x = 485,710.20 × 146,475.60
  4. Step 4: Simplify right side
    323,883.60x = 71,144,692,971.12
  5. Step 5: Solve for x
    x = 71,144,692,971.12/323,883.60
  6. Step 6: Final answer
    x = 219,661.30

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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.