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Finding the Fourth Proportional to 501,634, 692,254.92 and 275,279.50

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Solution

The fourth proportional to 501,634, 692,254.92 and 275,279.50 is: 379,885.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,634 : 692,254.92 = 275,279.50 : x
  2. Step 2: Convert to fraction form
    501,634/692,254.92 = 275,279.50/x
  3. Step 3: Cross multiply
    501,634x = 692,254.92 × 275,279.50
  4. Step 4: Simplify right side
    501,634x = 190,563,588,250.14
  5. Step 5: Solve for x
    x = 190,563,588,250.14/501,634
  6. Step 6: Final answer
    x = 379,885.71

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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.