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Finding the Fourth Proportional to 665,106.12, 997,753.14 and 215,676

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Solution

The fourth proportional to 665,106.12, 997,753.14 and 215,676 is: 323,544.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,106.12 : 997,753.14 = 215,676 : x
  2. Step 2: Convert to fraction form
    665,106.12/997,753.14 = 215,676/x
  3. Step 3: Cross multiply
    665,106.12x = 997,753.14 × 215,676
  4. Step 4: Simplify right side
    665,106.12x = 215,191,406,222.64
  5. Step 5: Solve for x
    x = 215,191,406,222.64/665,106.12
  6. Step 6: Final answer
    x = 323,544.47

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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.