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Finding the Fourth Proportional to 540,807.37, 746,414.01 and 347,456.78

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Solution

The fourth proportional to 540,807.37, 746,414.01 and 347,456.78 is: 479,554.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,807.37 : 746,414.01 = 347,456.78 : x
  2. Step 2: Convert to fraction form
    540,807.37/746,414.01 = 347,456.78/x
  3. Step 3: Cross multiply
    540,807.37x = 746,414.01 × 347,456.78
  4. Step 4: Simplify right side
    540,807.37x = 259,346,610,327.52
  5. Step 5: Solve for x
    x = 259,346,610,327.52/540,807.37
  6. Step 6: Final answer
    x = 479,554.51

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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.