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Finding the Fourth Proportional to 228,663.80, 342,023.70 and 205,141.40

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Solution

The fourth proportional to 228,663.80, 342,023.70 and 205,141.40 is: 306,840.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,663.80 : 342,023.70 = 205,141.40 : x
  2. Step 2: Convert to fraction form
    228,663.80/342,023.70 = 205,141.40/x
  3. Step 3: Cross multiply
    228,663.80x = 342,023.70 × 205,141.40
  4. Step 4: Simplify right side
    228,663.80x = 70,163,220,651.18
  5. Step 5: Solve for x
    x = 70,163,220,651.18/228,663.80
  6. Step 6: Final answer
    x = 306,840.09

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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.