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Finding the Fourth Proportional to 300,249.64, 413,503.14 and 249,489.64

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Solution

The fourth proportional to 300,249.64, 413,503.14 and 249,489.64 is: 343,596.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,249.64 : 413,503.14 = 249,489.64 : x
  2. Step 2: Convert to fraction form
    300,249.64/413,503.14 = 249,489.64/x
  3. Step 3: Cross multiply
    300,249.64x = 413,503.14 × 249,489.64
  4. Step 4: Simplify right side
    300,249.64x = 103,164,749,537.47
  5. Step 5: Solve for x
    x = 103,164,749,537.47/300,249.64
  6. Step 6: Final answer
    x = 343,596.58

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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.