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Finding the Fourth Proportional to 395,253.65, 592,548.24 and 320,187.64

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Solution

The fourth proportional to 395,253.65, 592,548.24 and 320,187.64 is: 480,012.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,253.65 : 592,548.24 = 320,187.64 : x
  2. Step 2: Convert to fraction form
    395,253.65/592,548.24 = 320,187.64/x
  3. Step 3: Cross multiply
    395,253.65x = 592,548.24 × 320,187.64
  4. Step 4: Simplify right side
    395,253.65x = 189,726,622,551.75
  5. Step 5: Solve for x
    x = 189,726,622,551.75/395,253.65
  6. Step 6: Final answer
    x = 480,012.32

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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.