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Finding the Fourth Proportional to 295,429.60, 443,209.20 and 145,741.60

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Solution

The fourth proportional to 295,429.60, 443,209.20 and 145,741.60 is: 218,644.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,429.60 : 443,209.20 = 145,741.60 : x
  2. Step 2: Convert to fraction form
    295,429.60/443,209.20 = 145,741.60/x
  3. Step 3: Cross multiply
    295,429.60x = 443,209.20 × 145,741.60
  4. Step 4: Simplify right side
    295,429.60x = 64,594,017,942.72
  5. Step 5: Solve for x
    x = 64,594,017,942.72/295,429.60
  6. Step 6: Final answer
    x = 218,644.37

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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.