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Finding the Fourth Proportional to 395,509.44, 545,772.96 and 225,720.48

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Solution

The fourth proportional to 395,509.44, 545,772.96 and 225,720.48 is: 311,477.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,509.44 : 545,772.96 = 225,720.48 : x
  2. Step 2: Convert to fraction form
    395,509.44/545,772.96 = 225,720.48/x
  3. Step 3: Cross multiply
    395,509.44x = 545,772.96 × 225,720.48
  4. Step 4: Simplify right side
    395,509.44x = 123,192,134,502.22
  5. Step 5: Solve for x
    x = 123,192,134,502.22/395,509.44
  6. Step 6: Final answer
    x = 311,477.10

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1.5x scale

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.