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Finding the Fourth Proportional to 470,357.44, 649,195.92 and 289,225.20

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Solution

The fourth proportional to 470,357.44, 649,195.92 and 289,225.20 is: 399,193.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,357.44 : 649,195.92 = 289,225.20 : x
  2. Step 2: Convert to fraction form
    470,357.44/649,195.92 = 289,225.20/x
  3. Step 3: Cross multiply
    470,357.44x = 649,195.92 × 289,225.20
  4. Step 4: Simplify right side
    470,357.44x = 187,763,819,801.18
  5. Step 5: Solve for x
    x = 187,763,819,801.18/470,357.44
  6. Step 6: Final answer
    x = 399,193.90

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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.