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Finding the Fourth Proportional to 414,173.81, 620,350.06 and 342,281.65

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Solution

The fourth proportional to 414,173.81, 620,350.06 and 342,281.65 is: 512,669.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,173.81 : 620,350.06 = 342,281.65 : x
  2. Step 2: Convert to fraction form
    414,173.81/620,350.06 = 342,281.65/x
  3. Step 3: Cross multiply
    414,173.81x = 620,350.06 × 342,281.65
  4. Step 4: Simplify right side
    414,173.81x = 212,334,442,114.40
  5. Step 5: Solve for x
    x = 212,334,442,114.40/414,173.81
  6. Step 6: Final answer
    x = 512,669.89

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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.