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Finding the Fourth Proportional to 458,774.58, 687,783 and 202,424.65

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Solution

The fourth proportional to 458,774.58, 687,783 and 202,424.65 is: 303,469.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,774.58 : 687,783 = 202,424.65 : x
  2. Step 2: Convert to fraction form
    458,774.58/687,783 = 202,424.65/x
  3. Step 3: Cross multiply
    458,774.58x = 687,783 × 202,424.65
  4. Step 4: Simplify right side
    458,774.58x = 139,224,231,331.49
  5. Step 5: Solve for x
    x = 139,224,231,331.49/458,774.58
  6. Step 6: Final answer
    x = 303,469.80

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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.