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Finding the Fourth Proportional to 1,196,359.82, 1,650,918.30 and 712,914.20

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Solution

The fourth proportional to 1,196,359.82, 1,650,918.30 and 712,914.20 is: 983,786.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,196,359.82 : 1,650,918.30 = 712,914.20 : x
  2. Step 2: Convert to fraction form
    1,196,359.82/1,650,918.30 = 712,914.20/x
  3. Step 3: Cross multiply
    1,196,359.82x = 1,650,918.30 × 712,914.20
  4. Step 4: Simplify right side
    1,196,359.82x = 1,176,963,099,109.86
  5. Step 5: Solve for x
    x = 1,176,963,099,109.86/1,196,359.82
  6. Step 6: Final answer
    x = 983,786.88

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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.