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Finding the Fourth Proportional to 440,721, 661,140.31 and 174,419.24

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Solution

The fourth proportional to 440,721, 661,140.31 and 174,419.24 is: 261,652.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,721 : 661,140.31 = 174,419.24 : x
  2. Step 2: Convert to fraction form
    440,721/661,140.31 = 174,419.24/x
  3. Step 3: Cross multiply
    440,721x = 661,140.31 × 174,419.24
  4. Step 4: Simplify right side
    440,721x = 115,315,590,707.77
  5. Step 5: Solve for x
    x = 115,315,590,707.77/440,721
  6. Step 6: Final answer
    x = 261,652.14

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1.5x scale

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.