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Finding the Fourth Proportional to 512,316.24, 706,973.64 and 285,956.56

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Solution

The fourth proportional to 512,316.24, 706,973.64 and 285,956.56 is: 394,607.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,316.24 : 706,973.64 = 285,956.56 : x
  2. Step 2: Convert to fraction form
    512,316.24/706,973.64 = 285,956.56/x
  3. Step 3: Cross multiply
    512,316.24x = 706,973.64 × 285,956.56
  4. Step 4: Simplify right side
    512,316.24x = 202,163,750,105.08
  5. Step 5: Solve for x
    x = 202,163,750,105.08/512,316.24
  6. Step 6: Final answer
    x = 394,607.34

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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.