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Finding the Fourth Proportional to 470,729.21, 705,695.90 and 204,289.43

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Solution

The fourth proportional to 470,729.21, 705,695.90 and 204,289.43 is: 306,261.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,729.21 : 705,695.90 = 204,289.43 : x
  2. Step 2: Convert to fraction form
    470,729.21/705,695.90 = 204,289.43/x
  3. Step 3: Cross multiply
    470,729.21x = 705,695.90 × 204,289.43
  4. Step 4: Simplify right side
    470,729.21x = 144,166,208,614.41
  5. Step 5: Solve for x
    x = 144,166,208,614.41/470,729.21
  6. Step 6: Final answer
    x = 306,261.45

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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.