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Finding the Fourth Proportional to 513,897.01, 770,579.91 and 225,590.65

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Solution

The fourth proportional to 513,897.01, 770,579.91 and 225,590.65 is: 338,269.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,897.01 : 770,579.91 = 225,590.65 : x
  2. Step 2: Convert to fraction form
    513,897.01/770,579.91 = 225,590.65/x
  3. Step 3: Cross multiply
    513,897.01x = 770,579.91 × 225,590.65
  4. Step 4: Simplify right side
    513,897.01x = 173,835,622,773.84
  5. Step 5: Solve for x
    x = 173,835,622,773.84/513,897.01
  6. Step 6: Final answer
    x = 338,269.38

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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.