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Finding the Fourth Proportional to 280,985.76, 421,034.76 and 228,137.04

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Solution

The fourth proportional to 280,985.76, 421,034.76 and 228,137.04 is: 341,845.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,985.76 : 421,034.76 = 228,137.04 : x
  2. Step 2: Convert to fraction form
    280,985.76/421,034.76 = 228,137.04/x
  3. Step 3: Cross multiply
    280,985.76x = 421,034.76 × 228,137.04
  4. Step 4: Simplify right side
    280,985.76x = 96,053,623,883.51
  5. Step 5: Solve for x
    x = 96,053,623,883.51/280,985.76
  6. Step 6: Final answer
    x = 341,845.17

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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.