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Finding the Fourth Proportional to 491,528.54, 678,420.02 and 321,664.26

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Solution

The fourth proportional to 491,528.54, 678,420.02 and 321,664.26 is: 443,969.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,528.54 : 678,420.02 = 321,664.26 : x
  2. Step 2: Convert to fraction form
    491,528.54/678,420.02 = 321,664.26/x
  3. Step 3: Cross multiply
    491,528.54x = 678,420.02 × 321,664.26
  4. Step 4: Simplify right side
    491,528.54x = 218,223,473,702.49
  5. Step 5: Solve for x
    x = 218,223,473,702.49/491,528.54
  6. Step 6: Final answer
    x = 443,969.08

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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.