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Finding the Fourth Proportional to 299,425.64, 413,208.32 and 191,996.10

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Solution

The fourth proportional to 299,425.64, 413,208.32 and 191,996.10 is: 264,955.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,425.64 : 413,208.32 = 191,996.10 : x
  2. Step 2: Convert to fraction form
    299,425.64/413,208.32 = 191,996.10/x
  3. Step 3: Cross multiply
    299,425.64x = 413,208.32 × 191,996.10
  4. Step 4: Simplify right side
    299,425.64x = 79,334,384,967.57
  5. Step 5: Solve for x
    x = 79,334,384,967.57/299,425.64
  6. Step 6: Final answer
    x = 264,955.22

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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.