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Finding the Fourth Proportional to 642,360.77, 886,873.83 and 413,021.06

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Solution

The fourth proportional to 642,360.77, 886,873.83 and 413,021.06 is: 570,236.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,360.77 : 886,873.83 = 413,021.06 : x
  2. Step 2: Convert to fraction form
    642,360.77/886,873.83 = 413,021.06/x
  3. Step 3: Cross multiply
    642,360.77x = 886,873.83 × 413,021.06
  4. Step 4: Simplify right side
    642,360.77x = 366,297,569,352.86
  5. Step 5: Solve for x
    x = 366,297,569,352.86/642,360.77
  6. Step 6: Final answer
    x = 570,236.52

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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.