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Finding the Fourth Proportional to 535,350, 738,528.35 and 320,448.54

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Solution

The fourth proportional to 535,350, 738,528.35 and 320,448.54 is: 442,066.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,350 : 738,528.35 = 320,448.54 : x
  2. Step 2: Convert to fraction form
    535,350/738,528.35 = 320,448.54/x
  3. Step 3: Cross multiply
    535,350x = 738,528.35 × 320,448.54
  4. Step 4: Simplify right side
    535,350x = 236,660,331,506.11
  5. Step 5: Solve for x
    x = 236,660,331,506.11/535,350
  6. Step 6: Final answer
    x = 442,066.56

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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.