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Finding the Fourth Proportional to 321,955.40, 482,933.10 and 164,491.40

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Solution

The fourth proportional to 321,955.40, 482,933.10 and 164,491.40 is: 246,737.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,955.40 : 482,933.10 = 164,491.40 : x
  2. Step 2: Convert to fraction form
    321,955.40/482,933.10 = 164,491.40/x
  3. Step 3: Cross multiply
    321,955.40x = 482,933.10 × 164,491.40
  4. Step 4: Simplify right side
    321,955.40x = 79,438,341,725.34
  5. Step 5: Solve for x
    x = 79,438,341,725.34/321,955.40
  6. Step 6: Final answer
    x = 246,737.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.