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Finding the Fourth Proportional to 522,045.20, 783,067.80 and 459,837.20

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Solution

The fourth proportional to 522,045.20, 783,067.80 and 459,837.20 is: 689,755.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,045.20 : 783,067.80 = 459,837.20 : x
  2. Step 2: Convert to fraction form
    522,045.20/783,067.80 = 459,837.20/x
  3. Step 3: Cross multiply
    522,045.20x = 783,067.80 × 459,837.20
  4. Step 4: Simplify right side
    522,045.20x = 360,083,704,562.16
  5. Step 5: Solve for x
    x = 360,083,704,562.16/522,045.20
  6. Step 6: Final answer
    x = 689,755.80

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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.