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Finding the Fourth Proportional to 873,517.92, 1,205,357.04 and 491,676

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Solution

The fourth proportional to 873,517.92, 1,205,357.04 and 491,676 is: 678,457.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    873,517.92 : 1,205,357.04 = 491,676 : x
  2. Step 2: Convert to fraction form
    873,517.92/1,205,357.04 = 491,676/x
  3. Step 3: Cross multiply
    873,517.92x = 1,205,357.04 × 491,676
  4. Step 4: Simplify right side
    873,517.92x = 592,645,127,999.04
  5. Step 5: Solve for x
    x = 592,645,127,999.04/873,517.92
  6. Step 6: Final answer
    x = 678,457.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.