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Finding the Fourth Proportional to 557,926.84, 770,309.76 and 428,635

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Solution

The fourth proportional to 557,926.84, 770,309.76 and 428,635 is: 591,801.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,926.84 : 770,309.76 = 428,635 : x
  2. Step 2: Convert to fraction form
    557,926.84/770,309.76 = 428,635/x
  3. Step 3: Cross multiply
    557,926.84x = 770,309.76 × 428,635
  4. Step 4: Simplify right side
    557,926.84x = 330,181,723,977.60
  5. Step 5: Solve for x
    x = 330,181,723,977.60/557,926.84
  6. Step 6: Final answer
    x = 591,801.11

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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.