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Finding the Fourth Proportional to 380,902.13, 571,540.42 and 153,188.66

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Solution

The fourth proportional to 380,902.13, 571,540.42 and 153,188.66 is: 229,858.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,902.13 : 571,540.42 = 153,188.66 : x
  2. Step 2: Convert to fraction form
    380,902.13/571,540.42 = 153,188.66/x
  3. Step 3: Cross multiply
    380,902.13x = 571,540.42 × 153,188.66
  4. Step 4: Simplify right side
    380,902.13x = 87,553,509,834.63
  5. Step 5: Solve for x
    x = 87,553,509,834.63/380,902.13
  6. Step 6: Final answer
    x = 229,858.28

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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.