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Finding the Fourth Proportional to 512,050.89, 706,576.80 and 282,604.02

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Solution

The fourth proportional to 512,050.89, 706,576.80 and 282,604.02 is: 389,964.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,050.89 : 706,576.80 = 282,604.02 : x
  2. Step 2: Convert to fraction form
    512,050.89/706,576.80 = 282,604.02/x
  3. Step 3: Cross multiply
    512,050.89x = 706,576.80 × 282,604.02
  4. Step 4: Simplify right side
    512,050.89x = 199,681,444,118.74
  5. Step 5: Solve for x
    x = 199,681,444,118.74/512,050.89
  6. Step 6: Final answer
    x = 389,964.06

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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.