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Finding the Fourth Proportional to 551,146.36, 826,507 and 214,142.65

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Solution

The fourth proportional to 551,146.36, 826,507 and 214,142.65 is: 321,131.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,146.36 : 826,507 = 214,142.65 : x
  2. Step 2: Convert to fraction form
    551,146.36/826,507 = 214,142.65/x
  3. Step 3: Cross multiply
    551,146.36x = 826,507 × 214,142.65
  4. Step 4: Simplify right side
    551,146.36x = 176,990,399,223.55
  5. Step 5: Solve for x
    x = 176,990,399,223.55/551,146.36
  6. Step 6: Final answer
    x = 321,131.39

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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.