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Finding the Fourth Proportional to 412,239.78, 617,554.35 and 284,133.30

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Solution

The fourth proportional to 412,239.78, 617,554.35 and 284,133.30 is: 425,644.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,239.78 : 617,554.35 = 284,133.30 : x
  2. Step 2: Convert to fraction form
    412,239.78/617,554.35 = 284,133.30/x
  3. Step 3: Cross multiply
    412,239.78x = 617,554.35 × 284,133.30
  4. Step 4: Simplify right side
    412,239.78x = 175,467,755,394.86
  5. Step 5: Solve for x
    x = 175,467,755,394.86/412,239.78
  6. Step 6: Final answer
    x = 425,644.89

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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.