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Finding the Fourth Proportional to 513,988.72, 709,234.70 and 298,962.88

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Solution

The fourth proportional to 513,988.72, 709,234.70 and 298,962.88 is: 412,528.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,988.72 : 709,234.70 = 298,962.88 : x
  2. Step 2: Convert to fraction form
    513,988.72/709,234.70 = 298,962.88/x
  3. Step 3: Cross multiply
    513,988.72x = 709,234.70 × 298,962.88
  4. Step 4: Simplify right side
    513,988.72x = 212,034,848,507.94
  5. Step 5: Solve for x
    x = 212,034,848,507.94/513,988.72
  6. Step 6: Final answer
    x = 412,528.21

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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.