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Finding the Fourth Proportional to 285,655.68, 394,193.52 and 156,591.36

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Solution

The fourth proportional to 285,655.68, 394,193.52 and 156,591.36 is: 216,089.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,655.68 : 394,193.52 = 156,591.36 : x
  2. Step 2: Convert to fraction form
    285,655.68/394,193.52 = 156,591.36/x
  3. Step 3: Cross multiply
    285,655.68x = 394,193.52 × 156,591.36
  4. Step 4: Simplify right side
    285,655.68x = 61,727,299,399.99
  5. Step 5: Solve for x
    x = 61,727,299,399.99/285,655.68
  6. Step 6: Final answer
    x = 216,089.87

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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.