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Finding the Fourth Proportional to 517,212.42, 713,739.54 and 287,770.20

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Solution

The fourth proportional to 517,212.42, 713,739.54 and 287,770.20 is: 397,115.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,212.42 : 713,739.54 = 287,770.20 : x
  2. Step 2: Convert to fraction form
    517,212.42/713,739.54 = 287,770.20/x
  3. Step 3: Cross multiply
    517,212.42x = 713,739.54 × 287,770.20
  4. Step 4: Simplify right side
    517,212.42x = 205,392,970,173.71
  5. Step 5: Solve for x
    x = 205,392,970,173.71/517,212.42
  6. Step 6: Final answer
    x = 397,115.31

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1.5x scale

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.