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Finding the Fourth Proportional to 380,567.88, 525,161.12 and 208,451.52

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Solution

The fourth proportional to 380,567.88, 525,161.12 and 208,451.52 is: 287,650.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,567.88 : 525,161.12 = 208,451.52 : x
  2. Step 2: Convert to fraction form
    380,567.88/525,161.12 = 208,451.52/x
  3. Step 3: Cross multiply
    380,567.88x = 525,161.12 × 208,451.52
  4. Step 4: Simplify right side
    380,567.88x = 109,470,633,708.90
  5. Step 5: Solve for x
    x = 109,470,633,708.90/380,567.88
  6. Step 6: Final answer
    x = 287,650.74

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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.