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Finding the Fourth Proportional to 491,007.11, 677,682.88 and 307,330.88

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Solution

The fourth proportional to 491,007.11, 677,682.88 and 307,330.88 is: 424,174.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,007.11 : 677,682.88 = 307,330.88 : x
  2. Step 2: Convert to fraction form
    491,007.11/677,682.88 = 307,330.88/x
  3. Step 3: Cross multiply
    491,007.11x = 677,682.88 × 307,330.88
  4. Step 4: Simplify right side
    491,007.11x = 208,272,871,714.59
  5. Step 5: Solve for x
    x = 208,272,871,714.59/491,007.11
  6. Step 6: Final answer
    x = 424,174.86

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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.