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Finding the Fourth Proportional to 470,520.86, 705,384.41 and 204,080.67

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Solution

The fourth proportional to 470,520.86, 705,384.41 and 204,080.67 is: 305,948.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,520.86 : 705,384.41 = 204,080.67 : x
  2. Step 2: Convert to fraction form
    470,520.86/705,384.41 = 204,080.67/x
  3. Step 3: Cross multiply
    470,520.86x = 705,384.41 × 204,080.67
  4. Step 4: Simplify right side
    470,520.86x = 143,955,321,979.95
  5. Step 5: Solve for x
    x = 143,955,321,979.95/470,520.86
  6. Step 6: Final answer
    x = 305,948.87

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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.