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Finding the Fourth Proportional to 319,532.08, 442,818.31 and 315,022

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Solution

The fourth proportional to 319,532.08, 442,818.31 and 315,022 is: 436,568.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,532.08 : 442,818.31 = 315,022 : x
  2. Step 2: Convert to fraction form
    319,532.08/442,818.31 = 315,022/x
  3. Step 3: Cross multiply
    319,532.08x = 442,818.31 × 315,022
  4. Step 4: Simplify right side
    319,532.08x = 139,497,509,652.82
  5. Step 5: Solve for x
    x = 139,497,509,652.82/319,532.08
  6. Step 6: Final answer
    x = 436,568.09

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.