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Finding the Fourth Proportional to 228,943.87, 342,994.50 and 143,538.48

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Solution

The fourth proportional to 228,943.87, 342,994.50 and 143,538.48 is: 215,043.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,943.87 : 342,994.50 = 143,538.48 : x
  2. Step 2: Convert to fraction form
    228,943.87/342,994.50 = 143,538.48/x
  3. Step 3: Cross multiply
    228,943.87x = 342,994.50 × 143,538.48
  4. Step 4: Simplify right side
    228,943.87x = 49,232,909,178.36
  5. Step 5: Solve for x
    x = 49,232,909,178.36/228,943.87
  6. Step 6: Final answer
    x = 215,043.58

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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.