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Finding the Fourth Proportional to 839,679.76, 1,158,735 and 457,714

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Solution

The fourth proportional to 839,679.76, 1,158,735 and 457,714 is: 631,632.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    839,679.76 : 1,158,735 = 457,714 : x
  2. Step 2: Convert to fraction form
    839,679.76/1,158,735 = 457,714/x
  3. Step 3: Cross multiply
    839,679.76x = 1,158,735 × 457,714
  4. Step 4: Simplify right side
    839,679.76x = 530,369,231,790
  5. Step 5: Solve for x
    x = 530,369,231,790/839,679.76
  6. Step 6: Final answer
    x = 631,632.75

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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.