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Finding the Fourth Proportional to 429,221.09, 642,579.15 and 321,627.40

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Solution

The fourth proportional to 429,221.09, 642,579.15 and 321,627.40 is: 481,502.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,221.09 : 642,579.15 = 321,627.40 : x
  2. Step 2: Convert to fraction form
    429,221.09/642,579.15 = 321,627.40/x
  3. Step 3: Cross multiply
    429,221.09x = 642,579.15 × 321,627.40
  4. Step 4: Simplify right side
    429,221.09x = 206,671,061,308.71
  5. Step 5: Solve for x
    x = 206,671,061,308.71/429,221.09
  6. Step 6: Final answer
    x = 481,502.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.