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Finding the Fourth Proportional to 414,386.10, 621,437.82 and 161,646.66

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Solution

The fourth proportional to 414,386.10, 621,437.82 and 161,646.66 is: 242,414.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,386.10 : 621,437.82 = 161,646.66 : x
  2. Step 2: Convert to fraction form
    414,386.10/621,437.82 = 161,646.66/x
  3. Step 3: Cross multiply
    414,386.10x = 621,437.82 × 161,646.66
  4. Step 4: Simplify right side
    414,386.10x = 100,453,348,000.68
  5. Step 5: Solve for x
    x = 100,453,348,000.68/414,386.10
  6. Step 6: Final answer
    x = 242,414.86

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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.