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Finding the Fourth Proportional to 470,914.48, 706,371.70 and 138,490.48

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Solution

The fourth proportional to 470,914.48, 706,371.70 and 138,490.48 is: 207,735.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,914.48 : 706,371.70 = 138,490.48 : x
  2. Step 2: Convert to fraction form
    470,914.48/706,371.70 = 138,490.48/x
  3. Step 3: Cross multiply
    470,914.48x = 706,371.70 × 138,490.48
  4. Step 4: Simplify right side
    470,914.48x = 97,825,755,791.42
  5. Step 5: Solve for x
    x = 97,825,755,791.42/470,914.48
  6. Step 6: Final answer
    x = 207,735.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.