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Finding the Fourth Proportional to 378,880.05, 567,828 and 153,978.77

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Solution

The fourth proportional to 378,880.05, 567,828 and 153,978.77 is: 230,768.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,880.05 : 567,828 = 153,978.77 : x
  2. Step 2: Convert to fraction form
    378,880.05/567,828 = 153,978.77/x
  3. Step 3: Cross multiply
    378,880.05x = 567,828 × 153,978.77
  4. Step 4: Simplify right side
    378,880.05x = 87,433,457,011.56
  5. Step 5: Solve for x
    x = 87,433,457,011.56/378,880.05
  6. Step 6: Final answer
    x = 230,768.17

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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.