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Finding the Fourth Proportional to 295,705.80, 443,558.70 and 145,974.60

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Solution

The fourth proportional to 295,705.80, 443,558.70 and 145,974.60 is: 218,961.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,705.80 : 443,558.70 = 145,974.60 : x
  2. Step 2: Convert to fraction form
    295,705.80/443,558.70 = 145,974.60/x
  3. Step 3: Cross multiply
    295,705.80x = 443,558.70 × 145,974.60
  4. Step 4: Simplify right side
    295,705.80x = 64,748,303,809.02
  5. Step 5: Solve for x
    x = 64,748,303,809.02/295,705.80
  6. Step 6: Final answer
    x = 218,961.90

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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.