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Finding the Fourth Proportional to 513,150.52, 708,145.94 and 286,796.02

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Solution

The fourth proportional to 513,150.52, 708,145.94 and 286,796.02 is: 395,777.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,150.52 : 708,145.94 = 286,796.02 : x
  2. Step 2: Convert to fraction form
    513,150.52/708,145.94 = 286,796.02/x
  3. Step 3: Cross multiply
    513,150.52x = 708,145.94 × 286,796.02
  4. Step 4: Simplify right side
    513,150.52x = 203,093,437,445.56
  5. Step 5: Solve for x
    x = 203,093,437,445.56/513,150.52
  6. Step 6: Final answer
    x = 395,777.52

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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.