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Finding the Fourth Proportional to 312,655.32, 468,983.16 and 219,576.60

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Solution

The fourth proportional to 312,655.32, 468,983.16 and 219,576.60 is: 329,365.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,655.32 : 468,983.16 = 219,576.60 : x
  2. Step 2: Convert to fraction form
    312,655.32/468,983.16 = 219,576.60/x
  3. Step 3: Cross multiply
    312,655.32x = 468,983.16 × 219,576.60
  4. Step 4: Simplify right side
    312,655.32x = 102,977,727,730.06
  5. Step 5: Solve for x
    x = 102,977,727,730.06/312,655.32
  6. Step 6: Final answer
    x = 329,365.03

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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.