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Finding the Fourth Proportional to 802,660, 1,107,843.60 and 480,442

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Solution

The fourth proportional to 802,660, 1,107,843.60 and 480,442 is: 663,113.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,660 : 1,107,843.60 = 480,442 : x
  2. Step 2: Convert to fraction form
    802,660/1,107,843.60 = 480,442/x
  3. Step 3: Cross multiply
    802,660x = 1,107,843.60 × 480,442
  4. Step 4: Simplify right side
    802,660x = 532,254,594,871.20
  5. Step 5: Solve for x
    x = 532,254,594,871.20/802,660
  6. Step 6: Final answer
    x = 663,113.39

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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.