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Finding the Fourth Proportional to 474,517.60, 711,972.96 and 208,140.64

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Solution

The fourth proportional to 474,517.60, 711,972.96 and 208,140.64 is: 312,297.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,517.60 : 711,972.96 = 208,140.64 : x
  2. Step 2: Convert to fraction form
    474,517.60/711,972.96 = 208,140.64/x
  3. Step 3: Cross multiply
    474,517.60x = 711,972.96 × 208,140.64
  4. Step 4: Simplify right side
    474,517.60x = 148,190,507,557.09
  5. Step 5: Solve for x
    x = 148,190,507,557.09/474,517.60
  6. Step 6: Final answer
    x = 312,297.18

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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.