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Finding the Fourth Proportional to 1,093,721.30, 1,640,581.95 and 828,000.80

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Solution

The fourth proportional to 1,093,721.30, 1,640,581.95 and 828,000.80 is: 1,242,001.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,093,721.30 : 1,640,581.95 = 828,000.80 : x
  2. Step 2: Convert to fraction form
    1,093,721.30/1,640,581.95 = 828,000.80/x
  3. Step 3: Cross multiply
    1,093,721.30x = 1,640,581.95 × 828,000.80
  4. Step 4: Simplify right side
    1,093,721.30x = 1,358,403,167,065.56
  5. Step 5: Solve for x
    x = 1,358,403,167,065.56/1,093,721.30
  6. Step 6: Final answer
    x = 1,242,001.20

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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.