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Finding the Fourth Proportional to 395,396.10, 545,655.78 and 225,646.02

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Solution

The fourth proportional to 395,396.10, 545,655.78 and 225,646.02 is: 311,396.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,396.10 : 545,655.78 = 225,646.02 : x
  2. Step 2: Convert to fraction form
    395,396.10/545,655.78 = 225,646.02/x
  3. Step 3: Cross multiply
    395,396.10x = 545,655.78 × 225,646.02
  4. Step 4: Simplify right side
    395,396.10x = 123,125,055,047.00
  5. Step 5: Solve for x
    x = 123,125,055,047.00/395,396.10
  6. Step 6: Final answer
    x = 311,396.74

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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.