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Finding the Fourth Proportional to 492,010.64, 678,953.64 and 274,207.70

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Solution

The fourth proportional to 492,010.64, 678,953.64 and 274,207.70 is: 378,394.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,010.64 : 678,953.64 = 274,207.70 : x
  2. Step 2: Convert to fraction form
    492,010.64/678,953.64 = 274,207.70/x
  3. Step 3: Cross multiply
    492,010.64x = 678,953.64 × 274,207.70
  4. Step 4: Simplify right side
    492,010.64x = 186,174,316,031.03
  5. Step 5: Solve for x
    x = 186,174,316,031.03/492,010.64
  6. Step 6: Final answer
    x = 378,394.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.