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Finding the Fourth Proportional to 498,456.78, 748,075.79 and 347,716.59

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Solution

The fourth proportional to 498,456.78, 748,075.79 and 347,716.59 is: 521,847.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,456.78 : 748,075.79 = 347,716.59 : x
  2. Step 2: Convert to fraction form
    498,456.78/748,075.79 = 347,716.59/x
  3. Step 3: Cross multiply
    498,456.78x = 748,075.79 × 347,716.59
  4. Step 4: Simplify right side
    498,456.78x = 260,118,362,760.36
  5. Step 5: Solve for x
    x = 260,118,362,760.36/498,456.78
  6. Step 6: Final answer
    x = 521,847.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.