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Finding the Fourth Proportional to 415,964.48, 624,012 and 179,374.40

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Solution

The fourth proportional to 415,964.48, 624,012 and 179,374.40 is: 269,089.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,964.48 : 624,012 = 179,374.40 : x
  2. Step 2: Convert to fraction form
    415,964.48/624,012 = 179,374.40/x
  3. Step 3: Cross multiply
    415,964.48x = 624,012 × 179,374.40
  4. Step 4: Simplify right side
    415,964.48x = 111,931,778,092.80
  5. Step 5: Solve for x
    x = 111,931,778,092.80/415,964.48
  6. Step 6: Final answer
    x = 269,089.75

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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.