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Finding the Fourth Proportional to 449,196.50, 619,820.70 and 258,174.20

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Solution

The fourth proportional to 449,196.50, 619,820.70 and 258,174.20 is: 356,239.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,196.50 : 619,820.70 = 258,174.20 : x
  2. Step 2: Convert to fraction form
    449,196.50/619,820.70 = 258,174.20/x
  3. Step 3: Cross multiply
    449,196.50x = 619,820.70 × 258,174.20
  4. Step 4: Simplify right side
    449,196.50x = 160,021,713,365.94
  5. Step 5: Solve for x
    x = 160,021,713,365.94/449,196.50
  6. Step 6: Final answer
    x = 356,239.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.