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Finding the Fourth Proportional to 384,908.75, 577,395.43 and 141,816

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Solution

The fourth proportional to 384,908.75, 577,395.43 and 141,816 is: 212,735.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,908.75 : 577,395.43 = 141,816 : x
  2. Step 2: Convert to fraction form
    384,908.75/577,395.43 = 141,816/x
  3. Step 3: Cross multiply
    384,908.75x = 577,395.43 × 141,816
  4. Step 4: Simplify right side
    384,908.75x = 81,883,910,300.88
  5. Step 5: Solve for x
    x = 81,883,910,300.88/384,908.75
  6. Step 6: Final answer
    x = 212,735.90

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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.