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Finding the Fourth Proportional to 440,765.40, 661,397.20 and 188,022

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Solution

The fourth proportional to 440,765.40, 661,397.20 and 188,022 is: 282,139.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,765.40 : 661,397.20 = 188,022 : x
  2. Step 2: Convert to fraction form
    440,765.40/661,397.20 = 188,022/x
  3. Step 3: Cross multiply
    440,765.40x = 661,397.20 × 188,022
  4. Step 4: Simplify right side
    440,765.40x = 124,357,224,338.40
  5. Step 5: Solve for x
    x = 124,357,224,338.40/440,765.40
  6. Step 6: Final answer
    x = 282,139.26

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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.