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Finding the Fourth Proportional to 520,029.27, 778,712.22 and 359,883.47

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Solution

The fourth proportional to 520,029.27, 778,712.22 and 359,883.47 is: 538,903.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,029.27 : 778,712.22 = 359,883.47 : x
  2. Step 2: Convert to fraction form
    520,029.27/778,712.22 = 359,883.47/x
  3. Step 3: Cross multiply
    520,029.27x = 778,712.22 × 359,883.47
  4. Step 4: Simplify right side
    520,029.27x = 280,245,651,971.44
  5. Step 5: Solve for x
    x = 280,245,651,971.44/520,029.27
  6. Step 6: Final answer
    x = 538,903.61

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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.