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Finding the Fourth Proportional to 414,062.74, 621,094.26 and 129,775.35

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Solution

The fourth proportional to 414,062.74, 621,094.26 and 129,775.35 is: 194,663.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,062.74 : 621,094.26 = 129,775.35 : x
  2. Step 2: Convert to fraction form
    414,062.74/621,094.26 = 129,775.35/x
  3. Step 3: Cross multiply
    414,062.74x = 621,094.26 × 129,775.35
  4. Step 4: Simplify right side
    414,062.74x = 80,602,724,974.49
  5. Step 5: Solve for x
    x = 80,602,724,974.49/414,062.74
  6. Step 6: Final answer
    x = 194,663.07

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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.