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Finding the Fourth Proportional to 665,015.30, 997,856.67 and 310,057.10

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Solution

The fourth proportional to 665,015.30, 997,856.67 and 310,057.10 is: 465,241.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,015.30 : 997,856.67 = 310,057.10 : x
  2. Step 2: Convert to fraction form
    665,015.30/997,856.67 = 310,057.10/x
  3. Step 3: Cross multiply
    665,015.30x = 997,856.67 × 310,057.10
  4. Step 4: Simplify right side
    665,015.30x = 309,392,545,315.86
  5. Step 5: Solve for x
    x = 309,392,545,315.86/665,015.30
  6. Step 6: Final answer
    x = 465,241.24

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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.