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Finding the Fourth Proportional to 442,969.16, 664,503.42 and 162,485.60

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Solution

The fourth proportional to 442,969.16, 664,503.42 and 162,485.60 is: 243,746.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,969.16 : 664,503.42 = 162,485.60 : x
  2. Step 2: Convert to fraction form
    442,969.16/664,503.42 = 162,485.60/x
  3. Step 3: Cross multiply
    442,969.16x = 664,503.42 × 162,485.60
  4. Step 4: Simplify right side
    442,969.16x = 107,972,236,900.75
  5. Step 5: Solve for x
    x = 107,972,236,900.75/442,969.16
  6. Step 6: Final answer
    x = 243,746.62

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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.