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Finding the Fourth Proportional to 220,624.41, 330,969.42 and 102,307.71

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Solution

The fourth proportional to 220,624.41, 330,969.42 and 102,307.71 is: 153,476.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,624.41 : 330,969.42 = 102,307.71 : x
  2. Step 2: Convert to fraction form
    220,624.41/330,969.42 = 102,307.71/x
  3. Step 3: Cross multiply
    220,624.41x = 330,969.42 × 102,307.71
  4. Step 4: Simplify right side
    220,624.41x = 33,860,723,440.23
  5. Step 5: Solve for x
    x = 33,860,723,440.23/220,624.41
  6. Step 6: Final answer
    x = 153,476.78

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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.