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Finding the Fourth Proportional to 412,151.37, 621,506.36 and 406,530.78

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Solution

The fourth proportional to 412,151.37, 621,506.36 and 406,530.78 is: 613,030.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,151.37 : 621,506.36 = 406,530.78 : x
  2. Step 2: Convert to fraction form
    412,151.37/621,506.36 = 406,530.78/x
  3. Step 3: Cross multiply
    412,151.37x = 621,506.36 × 406,530.78
  4. Step 4: Simplify right side
    412,151.37x = 252,661,463,273.11
  5. Step 5: Solve for x
    x = 252,661,463,273.11/412,151.37
  6. Step 6: Final answer
    x = 613,030.75

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.