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Finding the Fourth Proportional to 511,725.69, 767,260.07 and 212,412.87

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Solution

The fourth proportional to 511,725.69, 767,260.07 and 212,412.87 is: 318,482.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,725.69 : 767,260.07 = 212,412.87 : x
  2. Step 2: Convert to fraction form
    511,725.69/767,260.07 = 212,412.87/x
  3. Step 3: Cross multiply
    511,725.69x = 767,260.07 × 212,412.87
  4. Step 4: Simplify right side
    511,725.69x = 162,975,909,668.80
  5. Step 5: Solve for x
    x = 162,975,909,668.80/511,725.69
  6. Step 6: Final answer
    x = 318,482.96

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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.