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Finding the Fourth Proportional to 414,176.31, 620,353.81 and 342,284.15

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Solution

The fourth proportional to 414,176.31, 620,353.81 and 342,284.15 is: 512,673.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,176.31 : 620,353.81 = 342,284.15 : x
  2. Step 2: Convert to fraction form
    414,176.31/620,353.81 = 342,284.15/x
  3. Step 3: Cross multiply
    414,176.31x = 620,353.81 × 342,284.15
  4. Step 4: Simplify right side
    414,176.31x = 212,337,276,555.11
  5. Step 5: Solve for x
    x = 212,337,276,555.11/414,176.31
  6. Step 6: Final answer
    x = 512,673.64

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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.