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Finding the Fourth Proportional to 1,640,672.60, 2,461,008.90 and 1,540,945.40

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Solution

The fourth proportional to 1,640,672.60, 2,461,008.90 and 1,540,945.40 is: 2,311,418.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,640,672.60 : 2,461,008.90 = 1,540,945.40 : x
  2. Step 2: Convert to fraction form
    1,640,672.60/2,461,008.90 = 1,540,945.40/x
  3. Step 3: Cross multiply
    1,640,672.60x = 2,461,008.90 × 1,540,945.40
  4. Step 4: Simplify right side
    1,640,672.60x = 3,792,280,343,814.06
  5. Step 5: Solve for x
    x = 3,792,280,343,814.06/1,640,672.60
  6. Step 6: Final answer
    x = 2,311,418.10

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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.