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Finding the Fourth Proportional to 568,559.75, 784,606.46 and 310,435.88

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Solution

The fourth proportional to 568,559.75, 784,606.46 and 310,435.88 is: 428,398.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,559.75 : 784,606.46 = 310,435.88 : x
  2. Step 2: Convert to fraction form
    568,559.75/784,606.46 = 310,435.88/x
  3. Step 3: Cross multiply
    568,559.75x = 784,606.46 × 310,435.88
  4. Step 4: Simplify right side
    568,559.75x = 243,569,999,601.39
  5. Step 5: Solve for x
    x = 243,569,999,601.39/568,559.75
  6. Step 6: Final answer
    x = 428,398.25

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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.