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Finding the Fourth Proportional to 491,528.92, 678,420.54 and 321,664.63

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Solution

The fourth proportional to 491,528.92, 678,420.54 and 321,664.63 is: 443,969.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,528.92 : 678,420.54 = 321,664.63 : x
  2. Step 2: Convert to fraction form
    491,528.92/678,420.54 = 321,664.63/x
  3. Step 3: Cross multiply
    491,528.92x = 678,420.54 × 321,664.63
  4. Step 4: Simplify right side
    491,528.92x = 218,223,886,983.07
  5. Step 5: Solve for x
    x = 218,223,886,983.07/491,528.92
  6. Step 6: Final answer
    x = 443,969.58

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1.5x scale

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.