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Finding the Fourth Proportional to 474,200.64, 711,203.76 and 207,814.32

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Solution

The fourth proportional to 474,200.64, 711,203.76 and 207,814.32 is: 311,678.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,200.64 : 711,203.76 = 207,814.32 : x
  2. Step 2: Convert to fraction form
    474,200.64/711,203.76 = 207,814.32/x
  3. Step 3: Cross multiply
    474,200.64x = 711,203.76 × 207,814.32
  4. Step 4: Simplify right side
    474,200.64x = 147,798,325,765.84
  5. Step 5: Solve for x
    x = 147,798,325,765.84/474,200.64
  6. Step 6: Final answer
    x = 311,678.88

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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.