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Finding the Fourth Proportional to 568,422.81, 784,395.92 and 323,384.50

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Solution

The fourth proportional to 568,422.81, 784,395.92 and 323,384.50 is: 446,254.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,422.81 : 784,395.92 = 323,384.50 : x
  2. Step 2: Convert to fraction form
    568,422.81/784,395.92 = 323,384.50/x
  3. Step 3: Cross multiply
    568,422.81x = 784,395.92 × 323,384.50
  4. Step 4: Simplify right side
    568,422.81x = 253,661,476,852.34
  5. Step 5: Solve for x
    x = 253,661,476,852.34/568,422.81
  6. Step 6: Final answer
    x = 446,254.92

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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.