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Finding the Fourth Proportional to 321,283.15, 443,373.32 and 178,045.57

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Solution

The fourth proportional to 321,283.15, 443,373.32 and 178,045.57 is: 245,704.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,283.15 : 443,373.32 = 178,045.57 : x
  2. Step 2: Convert to fraction form
    321,283.15/443,373.32 = 178,045.57/x
  3. Step 3: Cross multiply
    321,283.15x = 443,373.32 × 178,045.57
  4. Step 4: Simplify right side
    321,283.15x = 78,940,655,482.19
  5. Step 5: Solve for x
    x = 78,940,655,482.19/321,283.15
  6. Step 6: Final answer
    x = 245,704.31

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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.