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Finding the Fourth Proportional to 420,978.99, 631,941.73 and 168,437.64

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Solution

The fourth proportional to 420,978.99, 631,941.73 and 168,437.64 is: 252,845.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,978.99 : 631,941.73 = 168,437.64 : x
  2. Step 2: Convert to fraction form
    420,978.99/631,941.73 = 168,437.64/x
  3. Step 3: Cross multiply
    420,978.99x = 631,941.73 × 168,437.64
  4. Step 4: Simplify right side
    420,978.99x = 106,442,775,567.41
  5. Step 5: Solve for x
    x = 106,442,775,567.41/420,978.99
  6. Step 6: Final answer
    x = 252,845.81

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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.