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Finding the Fourth Proportional to 513,802.86, 769,862.84 and 273,661.89

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Solution

The fourth proportional to 513,802.86, 769,862.84 and 273,661.89 is: 410,044.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,802.86 : 769,862.84 = 273,661.89 : x
  2. Step 2: Convert to fraction form
    513,802.86/769,862.84 = 273,661.89/x
  3. Step 3: Cross multiply
    513,802.86x = 769,862.84 × 273,661.89
  4. Step 4: Simplify right side
    513,802.86x = 210,682,118,466.86
  5. Step 5: Solve for x
    x = 210,682,118,466.86/513,802.86
  6. Step 6: Final answer
    x = 410,044.66

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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.