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Finding the Fourth Proportional to 522,874.80, 783,145.80 and 404,161.20

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Solution

The fourth proportional to 522,874.80, 783,145.80 and 404,161.20 is: 605,340.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,874.80 : 783,145.80 = 404,161.20 : x
  2. Step 2: Convert to fraction form
    522,874.80/783,145.80 = 404,161.20/x
  3. Step 3: Cross multiply
    522,874.80x = 783,145.80 × 404,161.20
  4. Step 4: Simplify right side
    522,874.80x = 316,517,146,302.96
  5. Step 5: Solve for x
    x = 316,517,146,302.96/522,874.80
  6. Step 6: Final answer
    x = 605,340.22

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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.