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Finding the Fourth Proportional to 407,711.90, 611,567.85 and 403,775.30

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Solution

The fourth proportional to 407,711.90, 611,567.85 and 403,775.30 is: 605,662.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,711.90 : 611,567.85 = 403,775.30 : x
  2. Step 2: Convert to fraction form
    407,711.90/611,567.85 = 403,775.30/x
  3. Step 3: Cross multiply
    407,711.90x = 611,567.85 × 403,775.30
  4. Step 4: Simplify right side
    407,711.90x = 246,935,992,104.11
  5. Step 5: Solve for x
    x = 246,935,992,104.11/407,711.90
  6. Step 6: Final answer
    x = 605,662.95

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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.