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Finding the Fourth Proportional to 538,464.86, 743,097.08 and 296,763

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Solution

The fourth proportional to 538,464.86, 743,097.08 and 296,763 is: 409,541.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,464.86 : 743,097.08 = 296,763 : x
  2. Step 2: Convert to fraction form
    538,464.86/743,097.08 = 296,763/x
  3. Step 3: Cross multiply
    538,464.86x = 743,097.08 × 296,763
  4. Step 4: Simplify right side
    538,464.86x = 220,523,718,752.04
  5. Step 5: Solve for x
    x = 220,523,718,752.04/538,464.86
  6. Step 6: Final answer
    x = 409,541.52

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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.