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Finding the Fourth Proportional to 470,354.44, 649,191.78 and 289,222.20

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Solution

The fourth proportional to 470,354.44, 649,191.78 and 289,222.20 is: 399,189.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,354.44 : 649,191.78 = 289,222.20 : x
  2. Step 2: Convert to fraction form
    470,354.44/649,191.78 = 289,222.20/x
  3. Step 3: Cross multiply
    470,354.44x = 649,191.78 × 289,222.20
  4. Step 4: Simplify right side
    470,354.44x = 187,760,674,833.52
  5. Step 5: Solve for x
    x = 187,760,674,833.52/470,354.44
  6. Step 6: Final answer
    x = 399,189.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.