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Finding the Fourth Proportional to 327,807.10, 491,710.65 and 289,315.90

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Solution

The fourth proportional to 327,807.10, 491,710.65 and 289,315.90 is: 433,973.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,807.10 : 491,710.65 = 289,315.90 : x
  2. Step 2: Convert to fraction form
    327,807.10/491,710.65 = 289,315.90/x
  3. Step 3: Cross multiply
    327,807.10x = 491,710.65 × 289,315.90
  4. Step 4: Simplify right side
    327,807.10x = 142,259,709,244.34
  5. Step 5: Solve for x
    x = 142,259,709,244.34/327,807.10
  6. Step 6: Final answer
    x = 433,973.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.