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Finding the Fourth Proportional to 681,666, 940,705.64 and 375,754.16

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Solution

The fourth proportional to 681,666, 940,705.64 and 375,754.16 is: 518,544.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,666 : 940,705.64 = 375,754.16 : x
  2. Step 2: Convert to fraction form
    681,666/940,705.64 = 375,754.16/x
  3. Step 3: Cross multiply
    681,666x = 940,705.64 × 375,754.16
  4. Step 4: Simplify right side
    681,666x = 353,474,057,565.46
  5. Step 5: Solve for x
    x = 353,474,057,565.46/681,666
  6. Step 6: Final answer
    x = 518,544.36

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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.