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Finding the Fourth Proportional to 443,200.64, 664,783.52 and 147,712.64

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Solution

The fourth proportional to 443,200.64, 664,783.52 and 147,712.64 is: 221,563.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,200.64 : 664,783.52 = 147,712.64 : x
  2. Step 2: Convert to fraction form
    443,200.64/664,783.52 = 147,712.64/x
  3. Step 3: Cross multiply
    443,200.64x = 664,783.52 × 147,712.64
  4. Step 4: Simplify right side
    443,200.64x = 98,196,928,767.69
  5. Step 5: Solve for x
    x = 98,196,928,767.69/443,200.64
  6. Step 6: Final answer
    x = 221,563.15

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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.