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Finding the Fourth Proportional to 820,181.92, 1,230,666 and 446,204.32

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Solution

The fourth proportional to 820,181.92, 1,230,666 and 446,204.32 is: 669,520.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    820,181.92 : 1,230,666 = 446,204.32 : x
  2. Step 2: Convert to fraction form
    820,181.92/1,230,666 = 446,204.32/x
  3. Step 3: Cross multiply
    820,181.92x = 1,230,666 × 446,204.32
  4. Step 4: Simplify right side
    820,181.92x = 549,128,485,677.12
  5. Step 5: Solve for x
    x = 549,128,485,677.12/820,181.92
  6. Step 6: Final answer
    x = 669,520.35

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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.