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Finding the Fourth Proportional to 546,401.82, 754,108.50 and 320,137.50

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Solution

The fourth proportional to 546,401.82, 754,108.50 and 320,137.50 is: 441,833.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,401.82 : 754,108.50 = 320,137.50 : x
  2. Step 2: Convert to fraction form
    546,401.82/754,108.50 = 320,137.50/x
  3. Step 3: Cross multiply
    546,401.82x = 754,108.50 × 320,137.50
  4. Step 4: Simplify right side
    546,401.82x = 241,418,409,918.75
  5. Step 5: Solve for x
    x = 241,418,409,918.75/546,401.82
  6. Step 6: Final answer
    x = 441,833.10

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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.