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Finding the Fourth Proportional to 873,489.92, 1,205,318.40 and 491,648

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Solution

The fourth proportional to 873,489.92, 1,205,318.40 and 491,648 is: 678,419.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    873,489.92 : 1,205,318.40 = 491,648 : x
  2. Step 2: Convert to fraction form
    873,489.92/1,205,318.40 = 491,648/x
  3. Step 3: Cross multiply
    873,489.92x = 1,205,318.40 × 491,648
  4. Step 4: Simplify right side
    873,489.92x = 592,592,380,723.20
  5. Step 5: Solve for x
    x = 592,592,380,723.20/873,489.92
  6. Step 6: Final answer
    x = 678,419.25

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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.