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Finding the Fourth Proportional to 565,735.10, 780,714.45 and 311,086.29

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Solution

The fourth proportional to 565,735.10, 780,714.45 and 311,086.29 is: 429,299.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,735.10 : 780,714.45 = 311,086.29 : x
  2. Step 2: Convert to fraction form
    565,735.10/780,714.45 = 311,086.29/x
  3. Step 3: Cross multiply
    565,735.10x = 780,714.45 × 311,086.29
  4. Step 4: Simplify right side
    565,735.10x = 242,869,561,799.89
  5. Step 5: Solve for x
    x = 242,869,561,799.89/565,735.10
  6. Step 6: Final answer
    x = 429,299.09

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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.