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Finding the Fourth Proportional to 516,507.98, 712,576.91 and 298,676.57

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Solution

The fourth proportional to 516,507.98, 712,576.91 and 298,676.57 is: 412,055.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,507.98 : 712,576.91 = 298,676.57 : x
  2. Step 2: Convert to fraction form
    516,507.98/712,576.91 = 298,676.57/x
  3. Step 3: Cross multiply
    516,507.98x = 712,576.91 × 298,676.57
  4. Step 4: Simplify right side
    516,507.98x = 212,830,024,523.81
  5. Step 5: Solve for x
    x = 212,830,024,523.81/516,507.98
  6. Step 6: Final answer
    x = 412,055.64

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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.