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Finding the Fourth Proportional to 280,971.76, 421,013.76 and 228,123.04

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Solution

The fourth proportional to 280,971.76, 421,013.76 and 228,123.04 is: 341,824.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,971.76 : 421,013.76 = 228,123.04 : x
  2. Step 2: Convert to fraction form
    280,971.76/421,013.76 = 228,123.04/x
  3. Step 3: Cross multiply
    280,971.76x = 421,013.76 × 228,123.04
  4. Step 4: Simplify right side
    280,971.76x = 96,042,938,813.03
  5. Step 5: Solve for x
    x = 96,042,938,813.03/280,971.76
  6. Step 6: Final answer
    x = 341,824.17

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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.