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Finding the Fourth Proportional to 458,098.02, 687,135.78 and 177,615.36

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Solution

The fourth proportional to 458,098.02, 687,135.78 and 177,615.36 is: 266,418.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,098.02 : 687,135.78 = 177,615.36 : x
  2. Step 2: Convert to fraction form
    458,098.02/687,135.78 = 177,615.36/x
  3. Step 3: Cross multiply
    458,098.02x = 687,135.78 × 177,615.36
  4. Step 4: Simplify right side
    458,098.02x = 122,045,868,933.58
  5. Step 5: Solve for x
    x = 122,045,868,933.58/458,098.02
  6. Step 6: Final answer
    x = 266,418.68

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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.