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Finding the Fourth Proportional to 873,523.92, 1,205,365.30 and 491,682

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Solution

The fourth proportional to 873,523.92, 1,205,365.30 and 491,682 is: 678,466.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    873,523.92 : 1,205,365.30 = 491,682 : x
  2. Step 2: Convert to fraction form
    873,523.92/1,205,365.30 = 491,682/x
  3. Step 3: Cross multiply
    873,523.92x = 1,205,365.30 × 491,682
  4. Step 4: Simplify right side
    873,523.92x = 592,656,421,434.60
  5. Step 5: Solve for x
    x = 592,656,421,434.60/873,523.92
  6. Step 6: Final answer
    x = 678,466.16

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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.