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Finding the Fourth Proportional to 289,740.60, 434,610.90 and 264,857.40

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Solution

The fourth proportional to 289,740.60, 434,610.90 and 264,857.40 is: 397,286.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,740.60 : 434,610.90 = 264,857.40 : x
  2. Step 2: Convert to fraction form
    289,740.60/434,610.90 = 264,857.40/x
  3. Step 3: Cross multiply
    289,740.60x = 434,610.90 × 264,857.40
  4. Step 4: Simplify right side
    289,740.60x = 115,109,912,985.66
  5. Step 5: Solve for x
    x = 115,109,912,985.66/289,740.60
  6. Step 6: Final answer
    x = 397,286.10

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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.