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Finding the Fourth Proportional to 470,243.88, 649,175.31 and 298,337.58

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Solution

The fourth proportional to 470,243.88, 649,175.31 and 298,337.58 is: 411,857.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,243.88 : 649,175.31 = 298,337.58 : x
  2. Step 2: Convert to fraction form
    470,243.88/649,175.31 = 298,337.58/x
  3. Step 3: Cross multiply
    470,243.88x = 649,175.31 × 298,337.58
  4. Step 4: Simplify right side
    470,243.88x = 193,673,390,981.15
  5. Step 5: Solve for x
    x = 193,673,390,981.15/470,243.88
  6. Step 6: Final answer
    x = 411,857.33

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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.