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Finding the Fourth Proportional to 491,031.52, 677,383.36 and 299,712.80

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Solution

The fourth proportional to 491,031.52, 677,383.36 and 299,712.80 is: 413,457.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,031.52 : 677,383.36 = 299,712.80 : x
  2. Step 2: Convert to fraction form
    491,031.52/677,383.36 = 299,712.80/x
  3. Step 3: Cross multiply
    491,031.52x = 677,383.36 × 299,712.80
  4. Step 4: Simplify right side
    491,031.52x = 203,020,463,499.01
  5. Step 5: Solve for x
    x = 203,020,463,499.01/491,031.52
  6. Step 6: Final answer
    x = 413,457.09

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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.