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Finding the Fourth Proportional to 535,468.86, 738,942.66 and 290,453.01

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Solution

The fourth proportional to 535,468.86, 738,942.66 and 290,453.01 is: 400,822.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,468.86 : 738,942.66 = 290,453.01 : x
  2. Step 2: Convert to fraction form
    535,468.86/738,942.66 = 290,453.01/x
  3. Step 3: Cross multiply
    535,468.86x = 738,942.66 × 290,453.01
  4. Step 4: Simplify right side
    535,468.86x = 214,628,119,814.41
  5. Step 5: Solve for x
    x = 214,628,119,814.41/535,468.86
  6. Step 6: Final answer
    x = 400,822.79

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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.