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Finding the Fourth Proportional to 929,574.92, 1,283,982.64 and 766,821.20

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Solution

The fourth proportional to 929,574.92, 1,283,982.64 and 766,821.20 is: 1,059,177.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    929,574.92 : 1,283,982.64 = 766,821.20 : x
  2. Step 2: Convert to fraction form
    929,574.92/1,283,982.64 = 766,821.20/x
  3. Step 3: Cross multiply
    929,574.92x = 1,283,982.64 × 766,821.20
  4. Step 4: Simplify right side
    929,574.92x = 984,585,108,783.97
  5. Step 5: Solve for x
    x = 984,585,108,783.97/929,574.92
  6. Step 6: Final answer
    x = 1,059,177.79

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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.