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Finding the Fourth Proportional to 1,297,867.40, 1,946,801.10 and 849,969.80

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Solution

The fourth proportional to 1,297,867.40, 1,946,801.10 and 849,969.80 is: 1,274,954.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297,867.40 : 1,946,801.10 = 849,969.80 : x
  2. Step 2: Convert to fraction form
    1,297,867.40/1,946,801.10 = 849,969.80/x
  3. Step 3: Cross multiply
    1,297,867.40x = 1,946,801.10 × 849,969.80
  4. Step 4: Simplify right side
    1,297,867.40x = 1,654,722,141,606.78
  5. Step 5: Solve for x
    x = 1,654,722,141,606.78/1,297,867.40
  6. Step 6: Final answer
    x = 1,274,954.70

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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.