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Finding the Fourth Proportional to 578,212.56, 797,920.66 and 316,567.30

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Solution

The fourth proportional to 578,212.56, 797,920.66 and 316,567.30 is: 436,855.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,212.56 : 797,920.66 = 316,567.30 : x
  2. Step 2: Convert to fraction form
    578,212.56/797,920.66 = 316,567.30/x
  3. Step 3: Cross multiply
    578,212.56x = 797,920.66 × 316,567.30
  4. Step 4: Simplify right side
    578,212.56x = 252,595,587,367.58
  5. Step 5: Solve for x
    x = 252,595,587,367.58/578,212.56
  6. Step 6: Final answer
    x = 436,855.94

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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.