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Finding the Fourth Proportional to 415,912, 624,144.48 and 153,256

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Solution

The fourth proportional to 415,912, 624,144.48 and 153,256 is: 229,985.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,912 : 624,144.48 = 153,256 : x
  2. Step 2: Convert to fraction form
    415,912/624,144.48 = 153,256/x
  3. Step 3: Cross multiply
    415,912x = 624,144.48 × 153,256
  4. Step 4: Simplify right side
    415,912x = 95,653,886,426.88
  5. Step 5: Solve for x
    x = 95,653,886,426.88/415,912
  6. Step 6: Final answer
    x = 229,985.88

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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.