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Finding the Fourth Proportional to 299,725.09, 413,615.78 and 163,756.11

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Solution

The fourth proportional to 299,725.09, 413,615.78 and 163,756.11 is: 225,980.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,725.09 : 413,615.78 = 163,756.11 : x
  2. Step 2: Convert to fraction form
    299,725.09/413,615.78 = 163,756.11/x
  3. Step 3: Cross multiply
    299,725.09x = 413,615.78 × 163,756.11
  4. Step 4: Simplify right side
    299,725.09x = 67,732,111,167.42
  5. Step 5: Solve for x
    x = 67,732,111,167.42/299,725.09
  6. Step 6: Final answer
    x = 225,980.79

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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.