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Finding the Fourth Proportional to 402,454.80, 554,832.54 and 321,059.21

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Solution

The fourth proportional to 402,454.80, 554,832.54 and 321,059.21 is: 442,618.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,454.80 : 554,832.54 = 321,059.21 : x
  2. Step 2: Convert to fraction form
    402,454.80/554,832.54 = 321,059.21/x
  3. Step 3: Cross multiply
    402,454.80x = 554,832.54 × 321,059.21
  4. Step 4: Simplify right side
    402,454.80x = 178,134,094,200.53
  5. Step 5: Solve for x
    x = 178,134,094,200.53/402,454.80
  6. Step 6: Final answer
    x = 442,618.88

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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.