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Finding the Fourth Proportional to 560,576.72, 840,364.98 and 205,507.84

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Solution

The fourth proportional to 560,576.72, 840,364.98 and 205,507.84 is: 308,078.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,576.72 : 840,364.98 = 205,507.84 : x
  2. Step 2: Convert to fraction form
    560,576.72/840,364.98 = 205,507.84/x
  3. Step 3: Cross multiply
    560,576.72x = 840,364.98 × 205,507.84
  4. Step 4: Simplify right side
    560,576.72x = 172,701,591,851.44
  5. Step 5: Solve for x
    x = 172,701,591,851.44/560,576.72
  6. Step 6: Final answer
    x = 308,078.42

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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.