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Finding the Fourth Proportional to 470,355.44, 649,193.16 and 289,223.20

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Solution

The fourth proportional to 470,355.44, 649,193.16 and 289,223.20 is: 399,191.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,355.44 : 649,193.16 = 289,223.20 : x
  2. Step 2: Convert to fraction form
    470,355.44/649,193.16 = 289,223.20/x
  3. Step 3: Cross multiply
    470,355.44x = 649,193.16 × 289,223.20
  4. Step 4: Simplify right side
    470,355.44x = 187,761,723,153.31
  5. Step 5: Solve for x
    x = 187,761,723,153.31/470,355.44
  6. Step 6: Final answer
    x = 399,191.14

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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.