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Finding the Fourth Proportional to 535,067.94, 738,399.76 and 305,655.60

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Solution

The fourth proportional to 535,067.94, 738,399.76 and 305,655.60 is: 421,808.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,067.94 : 738,399.76 = 305,655.60 : x
  2. Step 2: Convert to fraction form
    535,067.94/738,399.76 = 305,655.60/x
  3. Step 3: Cross multiply
    535,067.94x = 738,399.76 × 305,655.60
  4. Step 4: Simplify right side
    535,067.94x = 225,696,021,682.66
  5. Step 5: Solve for x
    x = 225,696,021,682.66/535,067.94
  6. Step 6: Final answer
    x = 421,808.16

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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.