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Finding the Fourth Proportional to 382,645.92, 528,779.64 and 286,986.54

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Solution

The fourth proportional to 382,645.92, 528,779.64 and 286,986.54 is: 396,587.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,645.92 : 528,779.64 = 286,986.54 : x
  2. Step 2: Convert to fraction form
    382,645.92/528,779.64 = 286,986.54/x
  3. Step 3: Cross multiply
    382,645.92x = 528,779.64 × 286,986.54
  4. Step 4: Simplify right side
    382,645.92x = 151,752,639,306.05
  5. Step 5: Solve for x
    x = 151,752,639,306.05/382,645.92
  6. Step 6: Final answer
    x = 396,587.63

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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.