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Finding the Fourth Proportional to 513,170.78, 708,163.43 and 286,837.34

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Solution

The fourth proportional to 513,170.78, 708,163.43 and 286,837.34 is: 395,828.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,170.78 : 708,163.43 = 286,837.34 : x
  2. Step 2: Convert to fraction form
    513,170.78/708,163.43 = 286,837.34/x
  3. Step 3: Cross multiply
    513,170.78x = 708,163.43 × 286,837.34
  4. Step 4: Simplify right side
    513,170.78x = 203,127,709,571.47
  5. Step 5: Solve for x
    x = 203,127,709,571.47/513,170.78
  6. Step 6: Final answer
    x = 395,828.68

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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.