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Finding the Fourth Proportional to 299,704.32, 413,601.28 and 172,421.12

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Solution

The fourth proportional to 299,704.32, 413,601.28 and 172,421.12 is: 237,946.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,704.32 : 413,601.28 = 172,421.12 : x
  2. Step 2: Convert to fraction form
    299,704.32/413,601.28 = 172,421.12/x
  3. Step 3: Cross multiply
    299,704.32x = 413,601.28 × 172,421.12
  4. Step 4: Simplify right side
    299,704.32x = 71,313,595,931.03
  5. Step 5: Solve for x
    x = 71,313,595,931.03/299,704.32
  6. Step 6: Final answer
    x = 237,946.51

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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.