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Finding the Fourth Proportional to 228,688.80, 343,033.20 and 148,972.65

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Solution

The fourth proportional to 228,688.80, 343,033.20 and 148,972.65 is: 223,458.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,688.80 : 343,033.20 = 148,972.65 : x
  2. Step 2: Convert to fraction form
    228,688.80/343,033.20 = 148,972.65/x
  3. Step 3: Cross multiply
    228,688.80x = 343,033.20 × 148,972.65
  4. Step 4: Simplify right side
    228,688.80x = 51,102,564,841.98
  5. Step 5: Solve for x
    x = 51,102,564,841.98/228,688.80
  6. Step 6: Final answer
    x = 223,458.98

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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.