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Finding the Fourth Proportional to 382,390.54, 573,069.11 and 145,604.05

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Solution

The fourth proportional to 382,390.54, 573,069.11 and 145,604.05 is: 218,209.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,390.54 : 573,069.11 = 145,604.05 : x
  2. Step 2: Convert to fraction form
    382,390.54/573,069.11 = 145,604.05/x
  3. Step 3: Cross multiply
    382,390.54x = 573,069.11 × 145,604.05
  4. Step 4: Simplify right side
    382,390.54x = 83,441,182,277.23
  5. Step 5: Solve for x
    x = 83,441,182,277.23/382,390.54
  6. Step 6: Final answer
    x = 218,209.33

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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.