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Finding the Fourth Proportional to 491,073.07, 677,687.84 and 289,869.07

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Solution

The fourth proportional to 491,073.07, 677,687.84 and 289,869.07 is: 400,023.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,073.07 : 677,687.84 = 289,869.07 : x
  2. Step 2: Convert to fraction form
    491,073.07/677,687.84 = 289,869.07/x
  3. Step 3: Cross multiply
    491,073.07x = 677,687.84 × 289,869.07
  4. Step 4: Simplify right side
    491,073.07x = 196,440,743,931.11
  5. Step 5: Solve for x
    x = 196,440,743,931.11/491,073.07
  6. Step 6: Final answer
    x = 400,023.45

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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.