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Finding the Fourth Proportional to 507,150, 760,440.42 and 347,406.48

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Solution

The fourth proportional to 507,150, 760,440.42 and 347,406.48 is: 520,914.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,150 : 760,440.42 = 347,406.48 : x
  2. Step 2: Convert to fraction form
    507,150/760,440.42 = 347,406.48/x
  3. Step 3: Cross multiply
    507,150x = 760,440.42 × 347,406.48
  4. Step 4: Simplify right side
    507,150x = 264,181,929,561.92
  5. Step 5: Solve for x
    x = 264,181,929,561.92/507,150
  6. Step 6: Final answer
    x = 520,914.78

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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.