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Finding the Fourth Proportional to 470,763.90, 649,665.36 and 266,835.60

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Solution

The fourth proportional to 470,763.90, 649,665.36 and 266,835.60 is: 368,239.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,763.90 : 649,665.36 = 266,835.60 : x
  2. Step 2: Convert to fraction form
    470,763.90/649,665.36 = 266,835.60/x
  3. Step 3: Cross multiply
    470,763.90x = 649,665.36 × 266,835.60
  4. Step 4: Simplify right side
    470,763.90x = 173,353,846,134.82
  5. Step 5: Solve for x
    x = 173,353,846,134.82/470,763.90
  6. Step 6: Final answer
    x = 368,239.46

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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.