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Finding the Fourth Proportional to 665,007.30, 997,844.67 and 310,049.10

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Solution

The fourth proportional to 665,007.30, 997,844.67 and 310,049.10 is: 465,229.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,007.30 : 997,844.67 = 310,049.10 : x
  2. Step 2: Convert to fraction form
    665,007.30/997,844.67 = 310,049.10/x
  3. Step 3: Cross multiply
    665,007.30x = 997,844.67 × 310,049.10
  4. Step 4: Simplify right side
    665,007.30x = 309,380,841,873.30
  5. Step 5: Solve for x
    x = 309,380,841,873.30/665,007.30
  6. Step 6: Final answer
    x = 465,229.24

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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.