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Finding the Fourth Proportional to 569,214.68, 785,532.51 and 311,105.96

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Solution

The fourth proportional to 569,214.68, 785,532.51 and 311,105.96 is: 429,335.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,214.68 : 785,532.51 = 311,105.96 : x
  2. Step 2: Convert to fraction form
    569,214.68/785,532.51 = 311,105.96/x
  3. Step 3: Cross multiply
    569,214.68x = 785,532.51 × 311,105.96
  4. Step 4: Simplify right side
    569,214.68x = 244,383,845,634.76
  5. Step 5: Solve for x
    x = 244,383,845,634.76/569,214.68
  6. Step 6: Final answer
    x = 429,335.11

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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.