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Finding the Fourth Proportional to 353,072.82, 529,310.70 and 153,243

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Solution

The fourth proportional to 353,072.82, 529,310.70 and 153,243 is: 229,734.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,072.82 : 529,310.70 = 153,243 : x
  2. Step 2: Convert to fraction form
    353,072.82/529,310.70 = 153,243/x
  3. Step 3: Cross multiply
    353,072.82x = 529,310.70 × 153,243
  4. Step 4: Simplify right side
    353,072.82x = 81,113,159,600.10
  5. Step 5: Solve for x
    x = 81,113,159,600.10/353,072.82
  6. Step 6: Final answer
    x = 229,734.93

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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.