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Finding the Fourth Proportional to 503,866.05, 695,321.13 and 274,418.31

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Solution

The fourth proportional to 503,866.05, 695,321.13 and 274,418.31 is: 378,689.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,866.05 : 695,321.13 = 274,418.31 : x
  2. Step 2: Convert to fraction form
    503,866.05/695,321.13 = 274,418.31/x
  3. Step 3: Cross multiply
    503,866.05x = 695,321.13 × 274,418.31
  4. Step 4: Simplify right side
    503,866.05x = 190,808,849,401.89
  5. Step 5: Solve for x
    x = 190,808,849,401.89/503,866.05
  6. Step 6: Final answer
    x = 378,689.63

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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.