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Finding the Fourth Proportional to 569,329.20, 785,691 and 311,220.41

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Solution

The fourth proportional to 569,329.20, 785,691 and 311,220.41 is: 429,493.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,329.20 : 785,691 = 311,220.41 : x
  2. Step 2: Convert to fraction form
    569,329.20/785,691 = 311,220.41/x
  3. Step 3: Cross multiply
    569,329.20x = 785,691 × 311,220.41
  4. Step 4: Simplify right side
    569,329.20x = 244,523,071,224.86
  5. Step 5: Solve for x
    x = 244,523,071,224.86/569,329.20
  6. Step 6: Final answer
    x = 429,493.29

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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.