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Finding the Fourth Proportional to 503,297.69, 694,567.17 and 288,478.26

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Solution

The fourth proportional to 503,297.69, 694,567.17 and 288,478.26 is: 398,109.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,297.69 : 694,567.17 = 288,478.26 : x
  2. Step 2: Convert to fraction form
    503,297.69/694,567.17 = 288,478.26/x
  3. Step 3: Cross multiply
    503,297.69x = 694,567.17 × 288,478.26
  4. Step 4: Simplify right side
    503,297.69x = 200,367,528,654.72
  5. Step 5: Solve for x
    x = 200,367,528,654.72/503,297.69
  6. Step 6: Final answer
    x = 398,109.38

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1.5x scale

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.